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Least Common Multiple (LCM) of 11 and 115

The least common multiple (LCM) of 11 and 115 is 1265.

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 115?

First, calculate the GCD of 11 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 115 = 0 remainder 11
2 115 ÷ 11 = 10 remainder 5
3 11 ÷ 5 = 2 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
40 and 1997960
102 and 777854
190 and 1656270
83 and 15612948
36 and 75900

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