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Least Common Multiple (LCM) of 87 and 53

The least common multiple (LCM) of 87 and 53 is 4611.

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 87 and 53?

First, calculate the GCD of 87 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 87 ÷ 53 = 1 remainder 34
2 53 ÷ 34 = 1 remainder 19
3 34 ÷ 19 = 1 remainder 15
4 19 ÷ 15 = 1 remainder 4
5 15 ÷ 4 = 3 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
134 and 18324522
64 and 662112
149 and 19629204
161 and 771771
156 and 375772

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