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Least Common Multiple (LCM) of 181 and 142

The least common multiple (LCM) of 181 and 142 is 25702.

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 181 and 142?

First, calculate the GCD of 181 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 181 ÷ 142 = 1 remainder 39
2 142 ÷ 39 = 3 remainder 25
3 39 ÷ 25 = 1 remainder 14
4 25 ÷ 14 = 1 remainder 11
5 14 ÷ 11 = 1 remainder 3
6 11 ÷ 3 = 3 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
114 and 10912426
101 and 19619796
103 and 11812154
16 and 98784
60 and 1713420

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