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Least Common Multiple (LCM) of 151 and 87

The least common multiple (LCM) of 151 and 87 is 13137.

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 151 and 87?

First, calculate the GCD of 151 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 151 ÷ 87 = 1 remainder 64
2 87 ÷ 64 = 1 remainder 23
3 64 ÷ 23 = 2 remainder 18
4 23 ÷ 18 = 1 remainder 5
5 18 ÷ 5 = 3 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 657215
155 and 7711935
156 and 15724492
127 and 18723749
80 and 1681680

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