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Least Common Multiple (LCM) of 145 and 96

The least common multiple (LCM) of 145 and 96 is 13920.

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 145 and 96?

First, calculate the GCD of 145 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 145 ÷ 96 = 1 remainder 49
2 96 ÷ 49 = 1 remainder 47
3 49 ÷ 47 = 1 remainder 2
4 47 ÷ 2 = 23 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 10210914
14 and 92644
108 and 661188
108 and 1921728
187 and 7413838

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