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Least Common Multiple (LCM) of 115 and 35

The least common multiple (LCM) of 115 and 35 is 805.

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 35?

First, calculate the GCD of 115 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 35 = 3 remainder 10
2 35 ÷ 10 = 3 remainder 5
3 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 13422110
31 and 672077
102 and 321632
118 and 1428378
153 and 8613158

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