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Least Common Multiple (LCM) of 51 and 107

The least common multiple (LCM) of 51 and 107 is 5457.

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 107?

First, calculate the GCD of 51 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 51 ÷ 107 = 0 remainder 51
2 107 ÷ 51 = 2 remainder 5
3 51 ÷ 5 = 10 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
29 and 22638
89 and 675963
102 and 1346834
25 and 60300
151 and 11917969

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