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Least Common Multiple (LCM) of 115 and 78

The least common multiple (LCM) of 115 and 78 is 8970.

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 115 and 78?

First, calculate the GCD of 115 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 78 = 1 remainder 37
2 78 ÷ 37 = 2 remainder 4
3 37 ÷ 4 = 9 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
62 and 1564836
31 and 1404340
139 and 15020850
50 and 12300
97 and 666402

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