GCF and LCM Calculator Logo

What is the Least Common Multiple of 4545 and 4553?

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 4545 and 4553 is 20693385.

LCM(4545,4553) = 20693385

LCM Calculator and
and

Least Common Multiple of 4545 and 4553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4545 and 4553, than apply into the LCM equation.

GCF(4545,4553) = 1
LCM(4545,4553) = ( 4545 × 4553) / 1
LCM(4545,4553) = 20693385 / 1
LCM(4545,4553) = 20693385

Least Common Multiple (LCM) of 4545 and 4553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4545 and 4553. First we will calculate the prime factors of 4545 and 4553.

Prime Factorization of 4545

Prime factors of 4545 are 3, 5, 101. Prime factorization of 4545 in exponential form is:

4545 = 32 × 51 × 1011

Prime Factorization of 4553

Prime factors of 4553 are 29, 157. Prime factorization of 4553 in exponential form is:

4553 = 291 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 4545 and 4553.

LCM(4545,4553) = 32 × 51 × 1011 × 291 × 1571
LCM(4545,4553) = 20693385