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Least Common Multiple (LCM) of 28 and 169

The least common multiple (LCM) of 28 and 169 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 28 and 169?

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

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 169 = 0 remainder 28
2 169 ÷ 28 = 6 remainder 1
3 28 ÷ 1 = 28 remainder 0

Examples of LCM Calculations

NumbersLCM
53 and 1849752
174 and 1203480
73 and 19414162
99 and 1199
23 and 882024

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