GCF and LCM Calculator Logo

What is the Least Common Multiple of 54556 and 54575?

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 54556 and 54575 is 2977393700.

LCM(54556,54575) = 2977393700

LCM Calculator and
and

Least Common Multiple of 54556 and 54575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54556 and 54575, than apply into the LCM equation.

GCF(54556,54575) = 1
LCM(54556,54575) = ( 54556 × 54575) / 1
LCM(54556,54575) = 2977393700 / 1
LCM(54556,54575) = 2977393700

Least Common Multiple (LCM) of 54556 and 54575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54556 and 54575. First we will calculate the prime factors of 54556 and 54575.

Prime Factorization of 54556

Prime factors of 54556 are 2, 23, 593. Prime factorization of 54556 in exponential form is:

54556 = 22 × 231 × 5931

Prime Factorization of 54575

Prime factors of 54575 are 5, 37, 59. Prime factorization of 54575 in exponential form is:

54575 = 52 × 371 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 54556 and 54575.

LCM(54556,54575) = 22 × 231 × 5931 × 52 × 371 × 591
LCM(54556,54575) = 2977393700