GCF and LCM Calculator Logo

What is the Least Common Multiple of 55464 and 55469?

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 55464 and 55469 is 3076532616.

LCM(55464,55469) = 3076532616

LCM Calculator and
and

Least Common Multiple of 55464 and 55469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55464 and 55469, than apply into the LCM equation.

GCF(55464,55469) = 1
LCM(55464,55469) = ( 55464 × 55469) / 1
LCM(55464,55469) = 3076532616 / 1
LCM(55464,55469) = 3076532616

Least Common Multiple (LCM) of 55464 and 55469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55464 and 55469. First we will calculate the prime factors of 55464 and 55469.

Prime Factorization of 55464

Prime factors of 55464 are 2, 3, 2311. Prime factorization of 55464 in exponential form is:

55464 = 23 × 31 × 23111

Prime Factorization of 55469

Prime factors of 55469 are 55469. Prime factorization of 55469 in exponential form is:

55469 = 554691

Now multiplying the highest exponent prime factors to calculate the LCM of 55464 and 55469.

LCM(55464,55469) = 23 × 31 × 23111 × 554691
LCM(55464,55469) = 3076532616