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Least Common Multiple (LCM) of 110 and 167

The least common multiple (LCM) of 110 and 167 is 18370.

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 110 and 167?

First, calculate the GCD of 110 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 110 ÷ 167 = 0 remainder 110
2 167 ÷ 110 = 1 remainder 57
3 110 ÷ 57 = 1 remainder 53
4 57 ÷ 53 = 1 remainder 4
5 53 ÷ 4 = 13 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
61 and 181098
35 and 1635705
179 and 11921301
107 and 272889
129 and 11915351

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