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Least Common Multiple (LCM) of 116 and 68

The least common multiple (LCM) of 116 and 68 is 1972.

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 116 and 68?

First, calculate the GCD of 116 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 68 = 1 remainder 48
2 68 ÷ 48 = 1 remainder 20
3 48 ÷ 20 = 2 remainder 8
4 20 ÷ 8 = 2 remainder 4
5 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
181 and 19936019
181 and 17932399
165 and 315115
127 and 8310541
73 and 715183

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