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Least Common Multiple (LCM) of 87 and 146

The least common multiple (LCM) of 87 and 146 is 12702.

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 146?

First, calculate the GCD of 87 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 87 ÷ 146 = 0 remainder 87
2 146 ÷ 87 = 1 remainder 59
3 87 ÷ 59 = 1 remainder 28
4 59 ÷ 28 = 2 remainder 3
5 28 ÷ 3 = 9 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 295655
194 and 17934726
160 and 18214560
145 and 14821460
61 and 1559455

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