GCF and LCM Calculator Logo

What is the Least Common Multiple of 55480 and 55495?

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 55480 and 55495 is 615772520.

LCM(55480,55495) = 615772520

LCM Calculator and
and

Least Common Multiple of 55480 and 55495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55480 and 55495, than apply into the LCM equation.

GCF(55480,55495) = 5
LCM(55480,55495) = ( 55480 × 55495) / 5
LCM(55480,55495) = 3078862600 / 5
LCM(55480,55495) = 615772520

Least Common Multiple (LCM) of 55480 and 55495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55480 and 55495. First we will calculate the prime factors of 55480 and 55495.

Prime Factorization of 55480

Prime factors of 55480 are 2, 5, 19, 73. Prime factorization of 55480 in exponential form is:

55480 = 23 × 51 × 191 × 731

Prime Factorization of 55495

Prime factors of 55495 are 5, 11, 1009. Prime factorization of 55495 in exponential form is:

55495 = 51 × 111 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 55480 and 55495.

LCM(55480,55495) = 23 × 51 × 191 × 731 × 111 × 10091
LCM(55480,55495) = 615772520