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Least Common Multiple (LCM) of 158 and 96

The least common multiple (LCM) of 158 and 96 is 7584.

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 96?

First, calculate the GCD of 158 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 158 ÷ 96 = 1 remainder 62
2 96 ÷ 62 = 1 remainder 34
3 62 ÷ 34 = 1 remainder 28
4 34 ÷ 28 = 1 remainder 6
5 28 ÷ 6 = 4 remainder 4
6 6 ÷ 4 = 1 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
161 and 365796
61 and 1388418
155 and 467130
189 and 509450
18 and 114342

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