GCF and LCM Calculator Logo

What is the Least Common Multiple of 53997 and 54005?

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 53997 and 54005 is 2916107985.

LCM(53997,54005) = 2916107985

LCM Calculator and
and

Least Common Multiple of 53997 and 54005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53997 and 54005, than apply into the LCM equation.

GCF(53997,54005) = 1
LCM(53997,54005) = ( 53997 × 54005) / 1
LCM(53997,54005) = 2916107985 / 1
LCM(53997,54005) = 2916107985

Least Common Multiple (LCM) of 53997 and 54005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53997 and 54005. First we will calculate the prime factors of 53997 and 54005.

Prime Factorization of 53997

Prime factors of 53997 are 3, 41, 439. Prime factorization of 53997 in exponential form is:

53997 = 31 × 411 × 4391

Prime Factorization of 54005

Prime factors of 54005 are 5, 7, 1543. Prime factorization of 54005 in exponential form is:

54005 = 51 × 71 × 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 53997 and 54005.

LCM(53997,54005) = 31 × 411 × 4391 × 51 × 71 × 15431
LCM(53997,54005) = 2916107985