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Least Common Multiple (LCM) of 121 and 150

The least common multiple (LCM) of 121 and 150 is 18150.

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 121 and 150?

First, calculate the GCD of 121 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 121 ÷ 150 = 0 remainder 121
2 150 ÷ 121 = 1 remainder 29
3 121 ÷ 29 = 4 remainder 5
4 29 ÷ 5 = 5 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
71 and 18513135
179 and 11220048
194 and 417954
170 and 1254250
25 and 45225

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