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Least Common Multiple (LCM) of 44 and 148

The least common multiple (LCM) of 44 and 148 is 1628.

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 44 and 148?

First, calculate the GCD of 44 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 44 ÷ 148 = 0 remainder 44
2 148 ÷ 44 = 3 remainder 16
3 44 ÷ 16 = 2 remainder 12
4 16 ÷ 12 = 1 remainder 4
5 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
87 and 14312441
112 and 1146384
43 and 522236
39 and 1471911
25 and 621550

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