GCF and LCM Calculator Logo

What is the Least Common Multiple of 54403 and 54420?

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 54403 and 54420 is 2960611260.

LCM(54403,54420) = 2960611260

LCM Calculator and
and

Least Common Multiple of 54403 and 54420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54403 and 54420, than apply into the LCM equation.

GCF(54403,54420) = 1
LCM(54403,54420) = ( 54403 × 54420) / 1
LCM(54403,54420) = 2960611260 / 1
LCM(54403,54420) = 2960611260

Least Common Multiple (LCM) of 54403 and 54420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54403 and 54420. First we will calculate the prime factors of 54403 and 54420.

Prime Factorization of 54403

Prime factors of 54403 are 54403. Prime factorization of 54403 in exponential form is:

54403 = 544031

Prime Factorization of 54420

Prime factors of 54420 are 2, 3, 5, 907. Prime factorization of 54420 in exponential form is:

54420 = 22 × 31 × 51 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 54403 and 54420.

LCM(54403,54420) = 544031 × 22 × 31 × 51 × 9071
LCM(54403,54420) = 2960611260