GCF and LCM Calculator Logo

What is the Least Common Multiple of 45139 and 45148?

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 45139 and 45148 is 2037935572.

LCM(45139,45148) = 2037935572

LCM Calculator and
and

Least Common Multiple of 45139 and 45148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45139 and 45148, than apply into the LCM equation.

GCF(45139,45148) = 1
LCM(45139,45148) = ( 45139 × 45148) / 1
LCM(45139,45148) = 2037935572 / 1
LCM(45139,45148) = 2037935572

Least Common Multiple (LCM) of 45139 and 45148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45139 and 45148. First we will calculate the prime factors of 45139 and 45148.

Prime Factorization of 45139

Prime factors of 45139 are 45139. Prime factorization of 45139 in exponential form is:

45139 = 451391

Prime Factorization of 45148

Prime factors of 45148 are 2, 11287. Prime factorization of 45148 in exponential form is:

45148 = 22 × 112871

Now multiplying the highest exponent prime factors to calculate the LCM of 45139 and 45148.

LCM(45139,45148) = 451391 × 22 × 112871
LCM(45139,45148) = 2037935572