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Least Common Multiple (LCM) of 169 and 28

The least common multiple (LCM) of 169 and 28 is 4732.

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 169 and 28?

First, calculate the GCD of 169 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 28 = 6 remainder 1
2 28 ÷ 1 = 28 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 1651320
16 and 811296
123 and 1325412
25 and 832075
165 and 198990

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