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Least Common Multiple (LCM) of 180 and 62

The least common multiple (LCM) of 180 and 62 is 5580.

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 62?

First, calculate the GCD of 180 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 180 ÷ 62 = 2 remainder 56
2 62 ÷ 56 = 1 remainder 6
3 56 ÷ 6 = 9 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 1003900
196 and 343332
129 and 1476321
132 and 1864092
132 and 762508

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