GCF and LCM Calculator Logo

What is the Least Common Multiple of 30233 and 30242?

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 30233 and 30242 is 914306386.

LCM(30233,30242) = 914306386

LCM Calculator and
and

Least Common Multiple of 30233 and 30242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30233 and 30242, than apply into the LCM equation.

GCF(30233,30242) = 1
LCM(30233,30242) = ( 30233 × 30242) / 1
LCM(30233,30242) = 914306386 / 1
LCM(30233,30242) = 914306386

Least Common Multiple (LCM) of 30233 and 30242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30233 and 30242. First we will calculate the prime factors of 30233 and 30242.

Prime Factorization of 30233

Prime factors of 30233 are 7, 617. Prime factorization of 30233 in exponential form is:

30233 = 72 × 6171

Prime Factorization of 30242

Prime factors of 30242 are 2, 15121. Prime factorization of 30242 in exponential form is:

30242 = 21 × 151211

Now multiplying the highest exponent prime factors to calculate the LCM of 30233 and 30242.

LCM(30233,30242) = 72 × 6171 × 21 × 151211
LCM(30233,30242) = 914306386