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Least Common Multiple (LCM) of 154 and 180

The least common multiple (LCM) of 154 and 180 is 13860.

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 154 and 180?

First, calculate the GCD of 154 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 154 ÷ 180 = 0 remainder 154
2 180 ÷ 154 = 1 remainder 26
3 154 ÷ 26 = 5 remainder 24
4 26 ÷ 24 = 1 remainder 2
5 24 ÷ 2 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
52 and 1759100
188 and 464324
76 and 1723268
89 and 161424
27 and 1554185

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