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Least Common Multiple (LCM) of 25 and 169

The least common multiple (LCM) of 25 and 169 is 4225.

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 169?

First, calculate the GCD of 25 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 169 = 0 remainder 25
2 169 ÷ 25 = 6 remainder 19
3 25 ÷ 19 = 1 remainder 6
4 19 ÷ 6 = 3 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 15125670
196 and 12211956
92 and 783588
64 and 1378768
122 and 523172

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