GCF and LCM Calculator Logo

What is the Least Common Multiple of 4499 and 4517?

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 4499 and 4517 is 20321983.

LCM(4499,4517) = 20321983

LCM Calculator and
and

Least Common Multiple of 4499 and 4517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4499 and 4517, than apply into the LCM equation.

GCF(4499,4517) = 1
LCM(4499,4517) = ( 4499 × 4517) / 1
LCM(4499,4517) = 20321983 / 1
LCM(4499,4517) = 20321983

Least Common Multiple (LCM) of 4499 and 4517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4499 and 4517. First we will calculate the prime factors of 4499 and 4517.

Prime Factorization of 4499

Prime factors of 4499 are 11, 409. Prime factorization of 4499 in exponential form is:

4499 = 111 × 4091

Prime Factorization of 4517

Prime factors of 4517 are 4517. Prime factorization of 4517 in exponential form is:

4517 = 45171

Now multiplying the highest exponent prime factors to calculate the LCM of 4499 and 4517.

LCM(4499,4517) = 111 × 4091 × 45171
LCM(4499,4517) = 20321983