GCF and LCM Calculator Logo

What is the Least Common Multiple of 30230 and 30241?

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 30230 and 30241 is 914185430.

LCM(30230,30241) = 914185430

LCM Calculator and
and

Least Common Multiple of 30230 and 30241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30230 and 30241, than apply into the LCM equation.

GCF(30230,30241) = 1
LCM(30230,30241) = ( 30230 × 30241) / 1
LCM(30230,30241) = 914185430 / 1
LCM(30230,30241) = 914185430

Least Common Multiple (LCM) of 30230 and 30241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30230 and 30241. First we will calculate the prime factors of 30230 and 30241.

Prime Factorization of 30230

Prime factors of 30230 are 2, 5, 3023. Prime factorization of 30230 in exponential form is:

30230 = 21 × 51 × 30231

Prime Factorization of 30241

Prime factors of 30241 are 30241. Prime factorization of 30241 in exponential form is:

30241 = 302411

Now multiplying the highest exponent prime factors to calculate the LCM of 30230 and 30241.

LCM(30230,30241) = 21 × 51 × 30231 × 302411
LCM(30230,30241) = 914185430