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Least Common Multiple (LCM) of 58 and 44

The least common multiple (LCM) of 58 and 44 is 1276.

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 58 and 44?

First, calculate the GCD of 58 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 58 ÷ 44 = 1 remainder 14
2 44 ÷ 14 = 3 remainder 2
3 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
135 and 421890
155 and 451395
142 and 18012780
48 and 1014848
92 and 17115732

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