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Least Common Multiple (LCM) of 140 and 114

The least common multiple (LCM) of 140 and 114 is 7980.

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 114?

First, calculate the GCD of 140 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 114 = 1 remainder 26
2 114 ÷ 26 = 4 remainder 10
3 26 ÷ 10 = 2 remainder 6
4 10 ÷ 6 = 1 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 16304
188 and 17332524
148 and 15122348
37 and 7474
20 and 78780

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