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Least Common Multiple (LCM) of 15 and 146

The least common multiple (LCM) of 15 and 146 is 2190.

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 146?

First, calculate the GCD of 15 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 15 ÷ 146 = 0 remainder 15
2 146 ÷ 15 = 9 remainder 11
3 15 ÷ 11 = 1 remainder 4
4 11 ÷ 4 = 2 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
99 and 18198
106 and 402120
52 and 68884
64 and 1705440
20 and 136680

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