GCF and LCM Calculator Logo

What is the Least Common Multiple of 30314 and 30330?

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 30314 and 30330 is 459711810.

LCM(30314,30330) = 459711810

LCM Calculator and
and

Least Common Multiple of 30314 and 30330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30314 and 30330, than apply into the LCM equation.

GCF(30314,30330) = 2
LCM(30314,30330) = ( 30314 × 30330) / 2
LCM(30314,30330) = 919423620 / 2
LCM(30314,30330) = 459711810

Least Common Multiple (LCM) of 30314 and 30330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30314 and 30330. First we will calculate the prime factors of 30314 and 30330.

Prime Factorization of 30314

Prime factors of 30314 are 2, 23, 659. Prime factorization of 30314 in exponential form is:

30314 = 21 × 231 × 6591

Prime Factorization of 30330

Prime factors of 30330 are 2, 3, 5, 337. Prime factorization of 30330 in exponential form is:

30330 = 21 × 32 × 51 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 30314 and 30330.

LCM(30314,30330) = 21 × 231 × 6591 × 32 × 51 × 3371
LCM(30314,30330) = 459711810