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Least Common Multiple (LCM) of 25 and 154

The least common multiple (LCM) of 25 and 154 is 3850.

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 154?

First, calculate the GCD of 25 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 154 = 0 remainder 25
2 154 ÷ 25 = 6 remainder 4
3 25 ÷ 4 = 6 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
15 and 43645
63 and 1257875
97 and 212037
135 and 421890
143 and 17725311

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