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Least Common Multiple (LCM) of 196 and 18

The least common multiple (LCM) of 196 and 18 is 1764.

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 18?

First, calculate the GCD of 196 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 18 = 10 remainder 16
2 18 ÷ 16 = 1 remainder 2
3 16 ÷ 2 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
193 and 6712931
104 and 39312
37 and 1575809
124 and 16520460
43 and 461978

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