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Least Common Multiple (LCM) of 140 and 74

The least common multiple (LCM) of 140 and 74 is 5180.

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 74?

First, calculate the GCD of 140 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 74 = 1 remainder 66
2 74 ÷ 66 = 1 remainder 8
3 66 ÷ 8 = 8 remainder 2
4 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 16714362
27 and 942538
48 and 1062544
119 and 17921301
20 and 1781780

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