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Least Common Multiple (LCM) of 176 and 56

The least common multiple (LCM) of 176 and 56 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 176 and 56?

First, calculate the GCD of 176 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 176 ÷ 56 = 3 remainder 8
2 56 ÷ 8 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 55715
95 and 16115295
62 and 1263906
143 and 10214586
50 and 1738650

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