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Least Common Multiple (LCM) of 140 and 51

The least common multiple (LCM) of 140 and 51 is 7140.

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 140 and 51?

First, calculate the GCD of 140 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 51 = 2 remainder 38
2 51 ÷ 38 = 1 remainder 13
3 38 ÷ 13 = 2 remainder 12
4 13 ÷ 12 = 1 remainder 1
5 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
190 and 1154370
196 and 5711172
87 and 722088
178 and 1069434
127 and 698763

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