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Least Common Multiple (LCM) of 11 and 103

The least common multiple (LCM) of 11 and 103 is 1133.

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 11 and 103?

First, calculate the GCD of 11 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 103 = 0 remainder 11
2 103 ÷ 11 = 9 remainder 4
3 11 ÷ 4 = 2 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
34 and 1715814
137 and 11515755
46 and 1496854
58 and 754350
61 and 1458845

Try Calculating LCM of Other Numbers







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