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Least Common Multiple (LCM) of 27 and 42

The least common multiple (LCM) of 27 and 42 is 378.

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 27 and 42?

First, calculate the GCD of 27 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 27 ÷ 42 = 0 remainder 27
2 42 ÷ 27 = 1 remainder 15
3 27 ÷ 15 = 1 remainder 12
4 15 ÷ 12 = 1 remainder 3
5 12 ÷ 3 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
78 and 231794
122 and 1328052
44 and 16176
121 and 273267
155 and 16926195

Try Calculating LCM of Other Numbers







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