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Least Common Multiple (LCM) of 145 and 109

The least common multiple (LCM) of 145 and 109 is 15805.

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 145 and 109?

First, calculate the GCD of 145 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 145 ÷ 109 = 1 remainder 36
2 109 ÷ 36 = 3 remainder 1
3 36 ÷ 1 = 36 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 18230030
188 and 2009400
168 and 2004200
62 and 1083348
114 and 1367752

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