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Least Common Multiple (LCM) of 140 and 168

The least common multiple (LCM) of 140 and 168 is 840.

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 168?

First, calculate the GCD of 140 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 168 = 0 remainder 140
2 168 ÷ 140 = 1 remainder 28
3 140 ÷ 28 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 173213
119 and 475593
130 and 1101430
90 and 1285760
199 and 8015920

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