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Least Common Multiple (LCM) of 31 and 158

The least common multiple (LCM) of 31 and 158 is 4898.

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 31 and 158?

First, calculate the GCD of 31 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 31 ÷ 158 = 0 remainder 31
2 158 ÷ 31 = 5 remainder 3
3 31 ÷ 3 = 10 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
31 and 1594929
30 and 14210
16 and 1452320
71 and 14510295
180 and 1848280

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