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Least Common Multiple (LCM) of 28 and 161

The least common multiple (LCM) of 28 and 161 is 644.

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 161?

First, calculate the GCD of 28 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 161 = 0 remainder 28
2 161 ÷ 28 = 5 remainder 21
3 28 ÷ 21 = 1 remainder 7
4 21 ÷ 7 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
22 and 90990
146 and 14521170
25 and 33825
41 and 341394
174 and 376438

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