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Least Common Multiple (LCM) of 38 and 53

The least common multiple (LCM) of 38 and 53 is 2014.

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 38 and 53?

First, calculate the GCD of 38 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 53 = 0 remainder 38
2 53 ÷ 38 = 1 remainder 15
3 38 ÷ 15 = 2 remainder 8
4 15 ÷ 8 = 1 remainder 7
5 8 ÷ 7 = 1 remainder 1
6 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
106 and 12313038
122 and 698418
64 and 1482368
29 and 902610
188 and 315828

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