GCF and LCM Calculator Logo

What is the Least Common Multiple of 10072 and 10084?

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 10072 and 10084 is 25391512.

LCM(10072,10084) = 25391512

LCM Calculator and
and

Least Common Multiple of 10072 and 10084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10072 and 10084, than apply into the LCM equation.

GCF(10072,10084) = 4
LCM(10072,10084) = ( 10072 × 10084) / 4
LCM(10072,10084) = 101566048 / 4
LCM(10072,10084) = 25391512

Least Common Multiple (LCM) of 10072 and 10084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10072 and 10084. First we will calculate the prime factors of 10072 and 10084.

Prime Factorization of 10072

Prime factors of 10072 are 2, 1259. Prime factorization of 10072 in exponential form is:

10072 = 23 × 12591

Prime Factorization of 10084

Prime factors of 10084 are 2, 2521. Prime factorization of 10084 in exponential form is:

10084 = 22 × 25211

Now multiplying the highest exponent prime factors to calculate the LCM of 10072 and 10084.

LCM(10072,10084) = 23 × 12591 × 25211
LCM(10072,10084) = 25391512