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Least Common Multiple (LCM) of 78 and 44

The least common multiple (LCM) of 78 and 44 is 1716.

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 78 and 44?

First, calculate the GCD of 78 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 44 = 1 remainder 34
2 44 ÷ 34 = 1 remainder 10
3 34 ÷ 10 = 3 remainder 4
4 10 ÷ 4 = 2 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 551265
44 and 982156
97 and 11511155
198 and 20019800
44 and 753300

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