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Least Common Multiple (LCM) of 103 and 101

The least common multiple (LCM) of 103 and 101 is 10403.

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 103 and 101?

First, calculate the GCD of 103 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 103 ÷ 101 = 1 remainder 2
2 101 ÷ 2 = 50 remainder 1
3 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
108 and 13314364
114 and 12228
31 and 1574867
59 and 442596
121 and 678107

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