GCF and LCM Calculator Logo

What is the Least Common Multiple of 30211 and 30217?

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 30211 and 30217 is 912885787.

LCM(30211,30217) = 912885787

LCM Calculator and
and

Least Common Multiple of 30211 and 30217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30211 and 30217, than apply into the LCM equation.

GCF(30211,30217) = 1
LCM(30211,30217) = ( 30211 × 30217) / 1
LCM(30211,30217) = 912885787 / 1
LCM(30211,30217) = 912885787

Least Common Multiple (LCM) of 30211 and 30217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30211 and 30217. First we will calculate the prime factors of 30211 and 30217.

Prime Factorization of 30211

Prime factors of 30211 are 30211. Prime factorization of 30211 in exponential form is:

30211 = 302111

Prime Factorization of 30217

Prime factors of 30217 are 11, 41, 67. Prime factorization of 30217 in exponential form is:

30217 = 111 × 411 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 30211 and 30217.

LCM(30211,30217) = 302111 × 111 × 411 × 671
LCM(30211,30217) = 912885787