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Least Common Multiple (LCM) of 42 and 49

The least common multiple (LCM) of 42 and 49 is 294.

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 49?

First, calculate the GCD of 42 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 42 ÷ 49 = 0 remainder 42
2 49 ÷ 42 = 1 remainder 7
3 42 ÷ 7 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 121956
84 and 897476
59 and 1569204
145 and 426090
108 and 752700

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