GCF and LCM Calculator Logo

What is the Least Common Multiple of 30572 and 30576?

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 30572 and 30576 is 233692368.

LCM(30572,30576) = 233692368

LCM Calculator and
and

Least Common Multiple of 30572 and 30576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30572 and 30576, than apply into the LCM equation.

GCF(30572,30576) = 4
LCM(30572,30576) = ( 30572 × 30576) / 4
LCM(30572,30576) = 934769472 / 4
LCM(30572,30576) = 233692368

Least Common Multiple (LCM) of 30572 and 30576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30572 and 30576. First we will calculate the prime factors of 30572 and 30576.

Prime Factorization of 30572

Prime factors of 30572 are 2, 7643. Prime factorization of 30572 in exponential form is:

30572 = 22 × 76431

Prime Factorization of 30576

Prime factors of 30576 are 2, 3, 7, 13. Prime factorization of 30576 in exponential form is:

30576 = 24 × 31 × 72 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 30572 and 30576.

LCM(30572,30576) = 24 × 76431 × 31 × 72 × 131
LCM(30572,30576) = 233692368