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Least Common Multiple (LCM) of 169 and 110

The least common multiple (LCM) of 169 and 110 is 18590.

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 169 and 110?

First, calculate the GCD of 169 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 110 = 1 remainder 59
2 110 ÷ 59 = 1 remainder 51
3 59 ÷ 51 = 1 remainder 8
4 51 ÷ 8 = 6 remainder 3
5 8 ÷ 3 = 2 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
123 and 14818204
113 and 15817854
75 and 1168700
10 and 62310
148 and 19128268

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