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What is the Least Common Multiple of 4454 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 4454 and 4467 is 19896018.

LCM(4454,4467) = 19896018

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Least Common Multiple of 4454 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 4454 and 4467, than apply into the LCM equation.

GCF(4454,4467) = 1
LCM(4454,4467) = ( 4454 × 4467) / 1
LCM(4454,4467) = 19896018 / 1
LCM(4454,4467) = 19896018

Least Common Multiple (LCM) of 4454 and 4467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4454 and 4467. First we will calculate the prime factors of 4454 and 4467.

Prime Factorization of 4454

Prime factors of 4454 are 2, 17, 131. Prime factorization of 4454 in exponential form is:

4454 = 21 × 171 × 1311

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 4454 and 4467.

LCM(4454,4467) = 21 × 171 × 1311 × 31 × 14891
LCM(4454,4467) = 19896018