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Least Common Multiple (LCM) of 26 and 48

The least common multiple (LCM) of 26 and 48 is 624.

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 26 and 48?

First, calculate the GCD of 26 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 26 ÷ 48 = 0 remainder 26
2 48 ÷ 26 = 1 remainder 22
3 26 ÷ 22 = 1 remainder 4
4 22 ÷ 4 = 5 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
141 and 1054935
79 and 463634
59 and 14826
84 and 1331596
99 and 1384554

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