GCF and LCM Calculator Logo

What is the Least Common Multiple of 30555 and 30570?

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 30555 and 30570 is 62271090.

LCM(30555,30570) = 62271090

LCM Calculator and
and

Least Common Multiple of 30555 and 30570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30555 and 30570, than apply into the LCM equation.

GCF(30555,30570) = 15
LCM(30555,30570) = ( 30555 × 30570) / 15
LCM(30555,30570) = 934066350 / 15
LCM(30555,30570) = 62271090

Least Common Multiple (LCM) of 30555 and 30570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30555 and 30570. First we will calculate the prime factors of 30555 and 30570.

Prime Factorization of 30555

Prime factors of 30555 are 3, 5, 7, 97. Prime factorization of 30555 in exponential form is:

30555 = 32 × 51 × 71 × 971

Prime Factorization of 30570

Prime factors of 30570 are 2, 3, 5, 1019. Prime factorization of 30570 in exponential form is:

30570 = 21 × 31 × 51 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 30555 and 30570.

LCM(30555,30570) = 32 × 51 × 71 × 971 × 21 × 10191
LCM(30555,30570) = 62271090