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Least Common Multiple (LCM) of 192 and 146

The least common multiple (LCM) of 192 and 146 is 14016.

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 146?

First, calculate the GCD of 192 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 146 = 1 remainder 46
2 146 ÷ 46 = 3 remainder 8
3 46 ÷ 8 = 5 remainder 6
4 8 ÷ 6 = 1 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 7312775
44 and 541188
167 and 15425718
76 and 654940
167 and 12821376

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