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Least Common Multiple (LCM) of 115 and 46

The least common multiple (LCM) of 115 and 46 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 46?

First, calculate the GCD of 115 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 46 = 2 remainder 23
2 46 ÷ 23 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
138 and 253450
104 and 1082808
116 and 8910324
77 and 13410318
30 and 1471470

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