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Least Common Multiple (LCM) of 28 and 176

The least common multiple (LCM) of 28 and 176 is 1232.

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 176?

First, calculate the GCD of 28 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 176 = 0 remainder 28
2 176 ÷ 28 = 6 remainder 8
3 28 ÷ 8 = 3 remainder 4
4 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
96 and 16716032
171 and 16327873
170 and 12610710
185 and 16630710
134 and 10514070

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