GCF and LCM Calculator Logo

What is the Least Common Multiple of 30217 and 30226?

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 30217 and 30226 is 913339042.

LCM(30217,30226) = 913339042

LCM Calculator and
and

Least Common Multiple of 30217 and 30226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30217 and 30226, than apply into the LCM equation.

GCF(30217,30226) = 1
LCM(30217,30226) = ( 30217 × 30226) / 1
LCM(30217,30226) = 913339042 / 1
LCM(30217,30226) = 913339042

Least Common Multiple (LCM) of 30217 and 30226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30217 and 30226. First we will calculate the prime factors of 30217 and 30226.

Prime Factorization of 30217

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

30217 = 111 × 411 × 671

Prime Factorization of 30226

Prime factors of 30226 are 2, 7, 17, 127. Prime factorization of 30226 in exponential form is:

30226 = 21 × 71 × 171 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 30217 and 30226.

LCM(30217,30226) = 111 × 411 × 671 × 21 × 71 × 171 × 1271
LCM(30217,30226) = 913339042