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Least Common Multiple (LCM) of 171 and 42

The least common multiple (LCM) of 171 and 42 is 2394.

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 171 and 42?

First, calculate the GCD of 171 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 42 = 4 remainder 3
2 42 ÷ 3 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
98 and 1748526
72 and 511224
157 and 7812246
18 and 1031854
127 and 11915113

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