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What is the Least Common Multiple of 12240 and 12254?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 12240 and 12254 is 74994480.

LCM(12240,12254) = 74994480

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Least Common Multiple of 12240 and 12254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12240 and 12254, than apply into the LCM equation.

GCF(12240,12254) = 2
LCM(12240,12254) = ( 12240 × 12254) / 2
LCM(12240,12254) = 149988960 / 2
LCM(12240,12254) = 74994480

Least Common Multiple (LCM) of 12240 and 12254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12240 and 12254. First we will calculate the prime factors of 12240 and 12254.

Prime Factorization of 12240

Prime factors of 12240 are 2, 3, 5, 17. Prime factorization of 12240 in exponential form is:

12240 = 24 × 32 × 51 × 171

Prime Factorization of 12254

Prime factors of 12254 are 2, 11, 557. Prime factorization of 12254 in exponential form is:

12254 = 21 × 111 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 12240 and 12254.

LCM(12240,12254) = 24 × 32 × 51 × 171 × 111 × 5571
LCM(12240,12254) = 74994480