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What is the Least Common Multiple of 4452 and 4467?

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 4452 and 4467 is 6629028.

LCM(4452,4467) = 6629028

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Least Common Multiple of 4452 and 4467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4452 and 4467, than apply into the LCM equation.

GCF(4452,4467) = 3
LCM(4452,4467) = ( 4452 × 4467) / 3
LCM(4452,4467) = 19887084 / 3
LCM(4452,4467) = 6629028

Least Common Multiple (LCM) of 4452 and 4467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4452 and 4467. First we will calculate the prime factors of 4452 and 4467.

Prime Factorization of 4452

Prime factors of 4452 are 2, 3, 7, 53. Prime factorization of 4452 in exponential form is:

4452 = 22 × 31 × 71 × 531

Prime Factorization of 4467

Prime factors of 4467 are 3, 1489. Prime factorization of 4467 in exponential form is:

4467 = 31 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 4452 and 4467.

LCM(4452,4467) = 22 × 31 × 71 × 531 × 14891
LCM(4452,4467) = 6629028