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Least Common Multiple (LCM) of 196 and 99

The least common multiple (LCM) of 196 and 99 is 19404.

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 99?

First, calculate the GCD of 196 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 99 = 1 remainder 97
2 99 ÷ 97 = 1 remainder 2
3 97 ÷ 2 = 48 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
10 and 37370
116 and 515916
119 and 15918921
25 and 1483700
47 and 552585

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