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Least Common Multiple (LCM) of 87 and 84

The least common multiple (LCM) of 87 and 84 is 2436.

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 84?

First, calculate the GCD of 87 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 87 ÷ 84 = 1 remainder 3
2 84 ÷ 3 = 28 remainder 0

Examples of LCM Calculations

NumbersLCM
34 and 1602720
54 and 621674
60 and 1217260
108 and 1113996
132 and 1717524

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