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Least Common Multiple (LCM) of 148 and 103

The least common multiple (LCM) of 148 and 103 is 15244.

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 148 and 103?

First, calculate the GCD of 148 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 148 ÷ 103 = 1 remainder 45
2 103 ÷ 45 = 2 remainder 13
3 45 ÷ 13 = 3 remainder 6
4 13 ÷ 6 = 2 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
66 and 461518
169 and 17429406
139 and 10915151
47 and 512397
82 and 16913858

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