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Least Common Multiple (LCM) of 126 and 94

The least common multiple (LCM) of 126 and 94 is 5922.

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 126 and 94?

First, calculate the GCD of 126 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 126 ÷ 94 = 1 remainder 32
2 94 ÷ 32 = 2 remainder 30
3 32 ÷ 30 = 1 remainder 2
4 30 ÷ 2 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
130 and 19412610
34 and 1242108
171 and 10618126
15 and 115345
71 and 443124

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