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Least Common Multiple (LCM) of 39 and 30

The least common multiple (LCM) of 39 and 30 is 390.

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 39 and 30?

First, calculate the GCD of 39 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 39 ÷ 30 = 1 remainder 9
2 30 ÷ 9 = 3 remainder 3
3 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
26 and 1152990
10 and 1671670
181 and 11220272
153 and 375661
155 and 351085

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