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Least Common Multiple (LCM) of 76 and 53

The least common multiple (LCM) of 76 and 53 is 4028.

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 76 and 53?

First, calculate the GCD of 76 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 76 ÷ 53 = 1 remainder 23
2 53 ÷ 23 = 2 remainder 7
3 23 ÷ 7 = 3 remainder 2
4 7 ÷ 2 = 3 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
68 and 1298772
193 and 14327599
175 and 12922575
72 and 943384
38 and 641216

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