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Least Common Multiple (LCM) of 78 and 32

The least common multiple (LCM) of 78 and 32 is 1248.

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 78 and 32?

First, calculate the GCD of 78 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 32 = 2 remainder 14
2 32 ÷ 14 = 2 remainder 4
3 14 ÷ 4 = 3 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
87 and 11510005
164 and 12210004
177 and 875133
62 and 1384278
102 and 899078

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