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Least Common Multiple (LCM) of 153 and 121

The least common multiple (LCM) of 153 and 121 is 18513.

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 153 and 121?

First, calculate the GCD of 153 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 121 = 1 remainder 32
2 121 ÷ 32 = 3 remainder 25
3 32 ÷ 25 = 1 remainder 7
4 25 ÷ 7 = 3 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
146 and 362628
132 and 261716
22 and 1701870
124 and 12915996
93 and 18216926

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