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Least Common Multiple (LCM) of 12 and 17

The least common multiple (LCM) of 12 and 17 is 204.

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 12 and 17?

First, calculate the GCD of 12 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 12 ÷ 17 = 0 remainder 12
2 17 ÷ 12 = 1 remainder 5
3 12 ÷ 5 = 2 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 12417980
184 and 1245704
187 and 16029920
119 and 16419516
184 and 32736

Try Calculating LCM of Other Numbers







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