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Least Common Multiple (LCM) of 196 and 33

The least common multiple (LCM) of 196 and 33 is 6468.

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 33?

First, calculate the GCD of 196 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 33 = 5 remainder 31
2 33 ÷ 31 = 1 remainder 2
3 31 ÷ 2 = 15 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
143 and 10214586
62 and 1384278
104 and 961248
199 and 489552
89 and 544806

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