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Least Common Multiple (LCM) of 53 and 155

The least common multiple (LCM) of 53 and 155 is 8215.

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 53 and 155?

First, calculate the GCD of 53 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 53 ÷ 155 = 0 remainder 53
2 155 ÷ 53 = 2 remainder 49
3 53 ÷ 49 = 1 remainder 4
4 49 ÷ 4 = 12 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
46 and 1924416
165 and 271485
129 and 16721543
197 and 17033490
108 and 45540

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