GCF and LCM Calculator Logo

What is the Least Common Multiple of 54025 and 54033?

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 54025 and 54033 is 2919132825.

LCM(54025,54033) = 2919132825

LCM Calculator and
and

Least Common Multiple of 54025 and 54033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54025 and 54033, than apply into the LCM equation.

GCF(54025,54033) = 1
LCM(54025,54033) = ( 54025 × 54033) / 1
LCM(54025,54033) = 2919132825 / 1
LCM(54025,54033) = 2919132825

Least Common Multiple (LCM) of 54025 and 54033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54025 and 54033. First we will calculate the prime factors of 54025 and 54033.

Prime Factorization of 54025

Prime factors of 54025 are 5, 2161. Prime factorization of 54025 in exponential form is:

54025 = 52 × 21611

Prime Factorization of 54033

Prime factors of 54033 are 3, 7, 31, 83. Prime factorization of 54033 in exponential form is:

54033 = 31 × 71 × 311 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 54025 and 54033.

LCM(54025,54033) = 52 × 21611 × 31 × 71 × 311 × 831
LCM(54025,54033) = 2919132825