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Least Common Multiple (LCM) of 156 and 181

The least common multiple (LCM) of 156 and 181 is 28236.

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 156 and 181?

First, calculate the GCD of 156 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 156 ÷ 181 = 0 remainder 156
2 181 ÷ 156 = 1 remainder 25
3 156 ÷ 25 = 6 remainder 6
4 25 ÷ 6 = 4 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 18720
119 and 17220468
191 and 336303
190 and 14928310
200 and 32800

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