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Least Common Multiple (LCM) of 42 and 120

The least common multiple (LCM) of 42 and 120 is 840.

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 120?

First, calculate the GCD of 42 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 42 ÷ 120 = 0 remainder 42
2 120 ÷ 42 = 2 remainder 36
3 42 ÷ 36 = 1 remainder 6
4 36 ÷ 6 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
122 and 16920618
136 and 15921624
191 and 5911269
76 and 1626156
167 and 9515865

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