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Least Common Multiple (LCM) of 42 and 172

The least common multiple (LCM) of 42 and 172 is 3612.

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 42 and 172?

First, calculate the GCD of 42 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 42 ÷ 172 = 0 remainder 42
2 172 ÷ 42 = 4 remainder 4
3 42 ÷ 4 = 10 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
176 and 1541232
39 and 1907410
184 and 1245704
25 and 581450
84 and 1078988

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