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Least Common Multiple (LCM) of 51 and 78

The least common multiple (LCM) of 51 and 78 is 1326.

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 51 and 78?

First, calculate the GCD of 51 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 51 ÷ 78 = 0 remainder 51
2 78 ÷ 51 = 1 remainder 27
3 51 ÷ 27 = 1 remainder 24
4 27 ÷ 24 = 1 remainder 3
5 24 ÷ 3 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
23 and 701610
107 and 656955
176 and 17731152
85 and 10170
17 and 57969

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