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Least Common Multiple (LCM) of 15 and 155

The least common multiple (LCM) of 15 and 155 is 465.

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 15 and 155?

First, calculate the GCD of 15 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 15 ÷ 155 = 0 remainder 15
2 155 ÷ 15 = 10 remainder 5
3 15 ÷ 5 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
146 and 10315038
171 and 294959
25 and 1012525
43 and 743182
37 and 1083996

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