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Least Common Multiple (LCM) of 158 and 45

The least common multiple (LCM) of 158 and 45 is 7110.

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 45?

First, calculate the GCD of 158 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 158 ÷ 45 = 3 remainder 23
2 45 ÷ 23 = 1 remainder 22
3 23 ÷ 22 = 1 remainder 1
4 22 ÷ 1 = 22 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 385510
83 and 201660
13 and 1652145
185 and 1957215
98 and 9898

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