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Least Common Multiple (LCM) of 53 and 115

The least common multiple (LCM) of 53 and 115 is 6095.

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 53 and 115?

First, calculate the GCD of 53 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 53 ÷ 115 = 0 remainder 53
2 115 ÷ 53 = 2 remainder 9
3 53 ÷ 9 = 5 remainder 8
4 9 ÷ 8 = 1 remainder 1
5 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
69 and 402760
48 and 1182832
83 and 554565
59 and 17410266
24 and 17408

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