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Least Common Multiple (LCM) of 169 and 22

The least common multiple (LCM) of 169 and 22 is 3718.

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 22?

First, calculate the GCD of 169 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 22 = 7 remainder 15
2 22 ÷ 15 = 1 remainder 7
3 15 ÷ 7 = 2 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
139 and 689452
77 and 17713629
166 and 14011620
38 and 1743306
170 and 14324310

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