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Least Common Multiple (LCM) of 69 and 15

The least common multiple (LCM) of 69 and 15 is 345.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 69 and 15?

First, calculate the GCD of 69 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 69 ÷ 15 = 4 remainder 9
2 15 ÷ 9 = 1 remainder 6
3 9 ÷ 6 = 1 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
169 and 19332617
195 and 8616770
107 and 828774
65 and 1348710
155 and 1304030

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