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Least Common Multiple (LCM) of 42 and 97

The least common multiple (LCM) of 42 and 97 is 4074.

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 97?

First, calculate the GCD of 42 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 42 ÷ 97 = 0 remainder 42
2 97 ÷ 42 = 2 remainder 13
3 42 ÷ 13 = 3 remainder 3
4 13 ÷ 3 = 4 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 1817602
159 and 19810494
55 and 18410120
15 and 138690
53 and 19110123

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