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Least Common Multiple (LCM) of 192 and 53

The least common multiple (LCM) of 192 and 53 is 10176.

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 192 and 53?

First, calculate the GCD of 192 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 53 = 3 remainder 33
2 53 ÷ 33 = 1 remainder 20
3 33 ÷ 20 = 1 remainder 13
4 20 ÷ 13 = 1 remainder 7
5 13 ÷ 7 = 1 remainder 6
6 7 ÷ 6 = 1 remainder 1
7 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
83 and 957885
141 and 19327213
23 and 1563588
125 and 536625
63 and 1142394

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