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Least Common Multiple (LCM) of 192 and 52

The least common multiple (LCM) of 192 and 52 is 2496.

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 52?

First, calculate the GCD of 192 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 52 = 3 remainder 36
2 52 ÷ 36 = 1 remainder 16
3 36 ÷ 16 = 2 remainder 4
4 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
46 and 1516946
58 and 1035974
198 and 499702
93 and 481488
47 and 582726

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