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Least Common Multiple (LCM) of 86 and 68

The least common multiple (LCM) of 86 and 68 is 2924.

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 68?

First, calculate the GCD of 86 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 68 = 1 remainder 18
2 68 ÷ 18 = 3 remainder 14
3 18 ÷ 14 = 1 remainder 4
4 14 ÷ 4 = 3 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
174 and 1925568
95 and 18317385
81 and 1413807
17 and 45765
133 and 678911

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