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Least Common Multiple (LCM) of 147 and 158

The least common multiple (LCM) of 147 and 158 is 23226.

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 147 and 158?

First, calculate the GCD of 147 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 158 = 0 remainder 147
2 158 ÷ 147 = 1 remainder 11
3 147 ÷ 11 = 13 remainder 4
4 11 ÷ 4 = 2 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 7912008
88 and 132264
10 and 42210
189 and 694347
68 and 1057140

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