GCF and LCM Calculator Logo

What is the Least Common Multiple of 74507 and 74521?

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 74507 and 74521 is 5552336147.

LCM(74507,74521) = 5552336147

LCM Calculator and
and

Least Common Multiple of 74507 and 74521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74507 and 74521, than apply into the LCM equation.

GCF(74507,74521) = 1
LCM(74507,74521) = ( 74507 × 74521) / 1
LCM(74507,74521) = 5552336147 / 1
LCM(74507,74521) = 5552336147

Least Common Multiple (LCM) of 74507 and 74521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74507 and 74521. First we will calculate the prime factors of 74507 and 74521.

Prime Factorization of 74507

Prime factors of 74507 are 74507. Prime factorization of 74507 in exponential form is:

74507 = 745071

Prime Factorization of 74521

Prime factors of 74521 are 74521. Prime factorization of 74521 in exponential form is:

74521 = 745211

Now multiplying the highest exponent prime factors to calculate the LCM of 74507 and 74521.

LCM(74507,74521) = 745071 × 745211
LCM(74507,74521) = 5552336147