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Least Common Multiple (LCM) of 86 and 200

The least common multiple (LCM) of 86 and 200 is 8600.

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 86 and 200?

First, calculate the GCD of 86 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 200 = 0 remainder 86
2 200 ÷ 86 = 2 remainder 28
3 86 ÷ 28 = 3 remainder 2
4 28 ÷ 2 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 1281664
132 and 176528
18 and 110990
160 and 1726880
147 and 1567644

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