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Least Common Multiple (LCM) of 109 and 58

The least common multiple (LCM) of 109 and 58 is 6322.

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 109 and 58?

First, calculate the GCD of 109 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 58 = 1 remainder 51
2 58 ÷ 51 = 1 remainder 7
3 51 ÷ 7 = 7 remainder 2
4 7 ÷ 2 = 3 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 11418
164 and 599676
117 and 27351
57 and 19711229
48 and 42336

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