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Least Common Multiple (LCM) of 178 and 99

The least common multiple (LCM) of 178 and 99 is 17622.

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 178 and 99?

First, calculate the GCD of 178 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 99 = 1 remainder 79
2 99 ÷ 79 = 1 remainder 20
3 79 ÷ 20 = 3 remainder 19
4 20 ÷ 19 = 1 remainder 1
5 19 ÷ 1 = 19 remainder 0

Examples of LCM Calculations

NumbersLCM
76 and 14310868
108 and 111188
151 and 7611476
73 and 151095
166 and 16213446

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