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Least Common Multiple (LCM) of 38 and 158

The least common multiple (LCM) of 38 and 158 is 3002.

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 38 and 158?

First, calculate the GCD of 38 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 158 = 0 remainder 38
2 158 ÷ 38 = 4 remainder 6
3 38 ÷ 6 = 6 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
124 and 1524712
196 and 772156
173 and 11620068
76 and 634788
173 and 6811764

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