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Least Common Multiple (LCM) of 140 and 31

The least common multiple (LCM) of 140 and 31 is 4340.

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 31?

First, calculate the GCD of 140 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 31 = 4 remainder 16
2 31 ÷ 16 = 1 remainder 15
3 16 ÷ 15 = 1 remainder 1
4 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 9515865
25 and 681700
63 and 17911277
136 and 521768
135 and 1532295

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