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Least Common Multiple (LCM) of 12 and 87

The least common multiple (LCM) of 12 and 87 is 348.

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 12 and 87?

First, calculate the GCD of 12 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 12 ÷ 87 = 0 remainder 12
2 87 ÷ 12 = 7 remainder 3
3 12 ÷ 3 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
96 and 1884512
69 and 352415
128 and 577296
200 and 989800
130 and 15920670

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