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Least Common Multiple (LCM) of 176 and 123

The least common multiple (LCM) of 176 and 123 is 21648.

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 123?

First, calculate the GCD of 176 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 176 ÷ 123 = 1 remainder 53
2 123 ÷ 53 = 2 remainder 17
3 53 ÷ 17 = 3 remainder 2
4 17 ÷ 2 = 8 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
20 and 1292580
101 and 525252
86 and 15513330
174 and 10918966
69 and 14810212

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