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Least Common Multiple (LCM) of 119 and 103

The least common multiple (LCM) of 119 and 103 is 12257.

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 119 and 103?

First, calculate the GCD of 119 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 119 ÷ 103 = 1 remainder 16
2 103 ÷ 16 = 6 remainder 7
3 16 ÷ 7 = 2 remainder 2
4 7 ÷ 2 = 3 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 1254750
84 and 1233444
19 and 1773363
46 and 632898
179 and 6511635

Try Calculating LCM of Other Numbers







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