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Least Common Multiple (LCM) of 155 and 94

The least common multiple (LCM) of 155 and 94 is 14570.

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 155 and 94?

First, calculate the GCD of 155 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 155 ÷ 94 = 1 remainder 61
2 94 ÷ 61 = 1 remainder 33
3 61 ÷ 33 = 1 remainder 28
4 33 ÷ 28 = 1 remainder 5
5 28 ÷ 5 = 5 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 231357
143 and 679581
77 and 19214784
90 and 851530
181 and 386878

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