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Least Common Multiple (LCM) of 42 and 59

The least common multiple (LCM) of 42 and 59 is 2478.

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 59?

First, calculate the GCD of 42 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 42 ÷ 59 = 0 remainder 42
2 59 ÷ 42 = 1 remainder 17
3 42 ÷ 17 = 2 remainder 8
4 17 ÷ 8 = 2 remainder 1
5 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
151 and 11517365
16 and 1392224
38 and 1676346
178 and 6912282
39 and 642496

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