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Least Common Multiple (LCM) of 40 and 94

The least common multiple (LCM) of 40 and 94 is 1880.

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 40 and 94?

First, calculate the GCD of 40 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 40 ÷ 94 = 0 remainder 40
2 94 ÷ 40 = 2 remainder 14
3 40 ÷ 14 = 2 remainder 12
4 14 ÷ 12 = 1 remainder 2
5 12 ÷ 2 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
25 and 1413525
111 and 9410434
69 and 825658
163 and 13321679
95 and 1051995

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