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Least Common Multiple (LCM) of 103 and 111

The least common multiple (LCM) of 103 and 111 is 11433.

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 111?

First, calculate the GCD of 103 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 103 ÷ 111 = 0 remainder 103
2 111 ÷ 103 = 1 remainder 8
3 103 ÷ 8 = 12 remainder 7
4 8 ÷ 7 = 1 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
131 and 547074
192 and 11522080
99 and 14814652
181 and 234163
152 and 1405320

Try Calculating LCM of Other Numbers







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