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Least Common Multiple (LCM) of 153 and 25

The least common multiple (LCM) of 153 and 25 is 3825.

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 153 and 25?

First, calculate the GCD of 153 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 25 = 6 remainder 3
2 25 ÷ 3 = 8 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
138 and 138138
185 and 19435890
98 and 1246076
148 and 172516
168 and 10116968

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