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Least Common Multiple (LCM) of 42 and 35

The least common multiple (LCM) of 42 and 35 is 210.

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 35?

First, calculate the GCD of 42 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 42 ÷ 35 = 1 remainder 7
2 35 ÷ 7 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
14 and 1351890
23 and 902070
111 and 293219
162 and 9515390
131 and 7910349

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