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Least Common Multiple (LCM) of 180 and 105

The least common multiple (LCM) of 180 and 105 is 1260.

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 180 and 105?

First, calculate the GCD of 180 and 105 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 180 ÷ 105 = 1 remainder 75
2 105 ÷ 75 = 1 remainder 30
3 75 ÷ 30 = 2 remainder 15
4 30 ÷ 15 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
169 and 15826702
47 and 17799
140 and 1893780
149 and 14020860
196 and 42588

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