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Least Common Multiple (LCM) of 100 and 155

The least common multiple (LCM) of 100 and 155 is 3100.

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 100 and 155?

First, calculate the GCD of 100 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 155 = 0 remainder 100
2 155 ÷ 100 = 1 remainder 55
3 100 ÷ 55 = 1 remainder 45
4 55 ÷ 45 = 1 remainder 10
5 45 ÷ 10 = 4 remainder 5
6 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
58 and 22638
158 and 18929862
106 and 1367208
66 and 1525016
19 and 27513

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