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Least Common Multiple (LCM) of 145 and 92

The least common multiple (LCM) of 145 and 92 is 13340.

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 92?

First, calculate the GCD of 145 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 145 ÷ 92 = 1 remainder 53
2 92 ÷ 53 = 1 remainder 39
3 53 ÷ 39 = 1 remainder 14
4 39 ÷ 14 = 2 remainder 11
5 14 ÷ 11 = 1 remainder 3
6 11 ÷ 3 = 3 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
113 and 859605
103 and 13614008
109 and 636867
139 and 12817792
59 and 19211328

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