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Least Common Multiple (LCM) of 147 and 94

The least common multiple (LCM) of 147 and 94 is 13818.

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 147 and 94?

First, calculate the GCD of 147 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 94 = 1 remainder 53
2 94 ÷ 53 = 1 remainder 41
3 53 ÷ 41 = 1 remainder 12
4 41 ÷ 12 = 3 remainder 5
5 12 ÷ 5 = 2 remainder 2
6 5 ÷ 2 = 2 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 373848
76 and 823116
199 and 12124079
109 and 15917331
11 and 18198

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