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Least Common Multiple (LCM) of 28 and 177

The least common multiple (LCM) of 28 and 177 is 4956.

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 177?

First, calculate the GCD of 28 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 177 = 0 remainder 28
2 177 ÷ 28 = 6 remainder 9
3 28 ÷ 9 = 3 remainder 1
4 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
75 and 161200
130 and 15390
61 and 1257625
83 and 776391
31 and 491519

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