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Least Common Multiple (LCM) of 115 and 10

The least common multiple (LCM) of 115 and 10 is 230.

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 115 and 10?

First, calculate the GCD of 115 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
80 and 1162320
111 and 331221
29 and 992871
193 and 12423932
158 and 725688

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