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Least Common Multiple (LCM) of 94 and 71

The least common multiple (LCM) of 94 and 71 is 6674.

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 94 and 71?

First, calculate the GCD of 94 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 94 ÷ 71 = 1 remainder 23
2 71 ÷ 23 = 3 remainder 2
3 23 ÷ 2 = 11 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 12117545
62 and 895518
141 and 753525
135 and 1453915
13 and 1401820

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