GCF and LCM Calculator Logo

What is the Least Common Multiple of 30241 and 30245?

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 30241 and 30245 is 914639045.

LCM(30241,30245) = 914639045

LCM Calculator and
and

Least Common Multiple of 30241 and 30245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30241 and 30245, than apply into the LCM equation.

GCF(30241,30245) = 1
LCM(30241,30245) = ( 30241 × 30245) / 1
LCM(30241,30245) = 914639045 / 1
LCM(30241,30245) = 914639045

Least Common Multiple (LCM) of 30241 and 30245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30241 and 30245. First we will calculate the prime factors of 30241 and 30245.

Prime Factorization of 30241

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

30241 = 302411

Prime Factorization of 30245

Prime factors of 30245 are 5, 23, 263. Prime factorization of 30245 in exponential form is:

30245 = 51 × 231 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 30241 and 30245.

LCM(30241,30245) = 302411 × 51 × 231 × 2631
LCM(30241,30245) = 914639045