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Least Common Multiple (LCM) of 94 and 116

The least common multiple (LCM) of 94 and 116 is 5452.

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 94 and 116?

First, calculate the GCD of 94 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 94 ÷ 116 = 0 remainder 94
2 116 ÷ 94 = 1 remainder 22
3 94 ÷ 22 = 4 remainder 6
4 22 ÷ 6 = 3 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
17 and 1893213
16 and 651040
45 and 1285760
135 and 1303510
197 and 6112017

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