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Least Common Multiple (LCM) of 196 and 192

The least common multiple (LCM) of 196 and 192 is 9408.

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 196 and 192?

First, calculate the GCD of 196 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 192 = 1 remainder 4
2 192 ÷ 4 = 48 remainder 0

Examples of LCM Calculations

NumbersLCM
98 and 15915582
116 and 1283712
178 and 343026
94 and 1386486
24 and 1221464

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