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Least Common Multiple (LCM) of 25 and 158

The least common multiple (LCM) of 25 and 158 is 3950.

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 25 and 158?

First, calculate the GCD of 25 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 158 = 0 remainder 25
2 158 ÷ 25 = 6 remainder 8
3 25 ÷ 8 = 3 remainder 1
4 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
68 and 1562652
140 and 16611620
76 and 32608
148 and 14721756
25 and 19475

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