GCF and LCM Calculator Logo

What is the Least Common Multiple of 30248 and 30257?

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 30248 and 30257 is 915213736.

LCM(30248,30257) = 915213736

LCM Calculator and
and

Least Common Multiple of 30248 and 30257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30248 and 30257, than apply into the LCM equation.

GCF(30248,30257) = 1
LCM(30248,30257) = ( 30248 × 30257) / 1
LCM(30248,30257) = 915213736 / 1
LCM(30248,30257) = 915213736

Least Common Multiple (LCM) of 30248 and 30257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30248 and 30257. First we will calculate the prime factors of 30248 and 30257.

Prime Factorization of 30248

Prime factors of 30248 are 2, 19, 199. Prime factorization of 30248 in exponential form is:

30248 = 23 × 191 × 1991

Prime Factorization of 30257

Prime factors of 30257 are 79, 383. Prime factorization of 30257 in exponential form is:

30257 = 791 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 30248 and 30257.

LCM(30248,30257) = 23 × 191 × 1991 × 791 × 3831
LCM(30248,30257) = 915213736