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Least Common Multiple (LCM) of 68 and 91

The least common multiple (LCM) of 68 and 91 is 6188.

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 68 and 91?

First, calculate the GCD of 68 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 91 = 0 remainder 68
2 91 ÷ 68 = 1 remainder 23
3 68 ÷ 23 = 2 remainder 22
4 23 ÷ 22 = 1 remainder 1
5 22 ÷ 1 = 22 remainder 0

Examples of LCM Calculations

NumbersLCM
25 and 11275
119 and 1682856
189 and 16931941
167 and 294843
123 and 496027

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