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Least Common Multiple (LCM) of 192 and 174

The least common multiple (LCM) of 192 and 174 is 5568.

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 174?

First, calculate the GCD of 192 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 174 = 1 remainder 18
2 174 ÷ 18 = 9 remainder 12
3 18 ÷ 12 = 1 remainder 6
4 12 ÷ 6 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
29 and 1464234
64 and 16310432
98 and 13112838
127 and 14818796
104 and 583016

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