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Least Common Multiple (LCM) of 176 and 99

The least common multiple (LCM) of 176 and 99 is 1584.

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 99?

First, calculate the GCD of 176 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 176 ÷ 99 = 1 remainder 77
2 99 ÷ 77 = 1 remainder 22
3 77 ÷ 22 = 3 remainder 11
4 22 ÷ 11 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
24 and 531272
92 and 11110212
127 and 11915113
161 and 12920769
111 and 16418204

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