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Least Common Multiple (LCM) of 84 and 196

The least common multiple (LCM) of 84 and 196 is 588.

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 84 and 196?

First, calculate the GCD of 84 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 84 ÷ 196 = 0 remainder 84
2 196 ÷ 84 = 2 remainder 28
3 84 ÷ 28 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
150 and 15211400
12 and 1752100
149 and 19929651
11 and 1691859
11 and 79869

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