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Least Common Multiple (LCM) of 196 and 144

The least common multiple (LCM) of 196 and 144 is 7056.

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 144?

First, calculate the GCD of 196 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 144 = 1 remainder 52
2 144 ÷ 52 = 2 remainder 40
3 52 ÷ 40 = 1 remainder 12
4 40 ÷ 12 = 3 remainder 4
5 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
146 and 15522630
198 and 1117326
52 and 1296708
106 and 12313038
150 and 282100

Try Calculating LCM of Other Numbers







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