The LCM (Least Common Multiple) of 10 and 15 is the smallest positive number that is perfectly divisible by both 10 and 15.
The LCM is used in real life to find the time after which two cyclically repeating events will happen simultaneously ā for example, if bus A comes every 10 minutes and bus B every 15 minutes, they come together every 30 minutes (the LCM).
Multiples of 10: 10, 20, 30, 40, 50, 60... Multiples of 15: 15, 30, 45, 60, 75...
The first common multiple = 30 ā“ LCM (10, 15) = 30
10 = 2Ā¹ Ć 5Ā¹ 15 = 3Ā¹ Ć 5Ā¹
For LCM, take the highest power of all prime factors:
HCF of 10 and 15: Common factor = 5Ā¹ HCF = 5
Verification: HCF Ć LCM = Product of numbers 5 Ć 30 = 150 = 10 Ć 15 ā
**LCM** (Least Common Multiple) is the smallest number divisible by both given numbers. **HCF** (Highest Common Factor) is the largest number that divides both given numbers. For 10 and 15: LCM = 30, HCF = 5.
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