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Least Common Multiple (LCM) of 158 and 44

The least common multiple (LCM) of 158 and 44 is 3476.

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 158 and 44?

First, calculate the GCD of 158 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 158 ÷ 44 = 3 remainder 26
2 44 ÷ 26 = 1 remainder 18
3 26 ÷ 18 = 1 remainder 8
4 18 ÷ 8 = 2 remainder 2
5 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
16 and 1381104
188 and 17332524
157 and 14122137
76 and 1279652
161 and 6410304

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