GCF and LCM Calculator Logo

What is the Least Common Multiple of 30046 and 30054?

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 30046 and 30054 is 451501242.

LCM(30046,30054) = 451501242

LCM Calculator and
and

Least Common Multiple of 30046 and 30054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30046 and 30054, than apply into the LCM equation.

GCF(30046,30054) = 2
LCM(30046,30054) = ( 30046 × 30054) / 2
LCM(30046,30054) = 903002484 / 2
LCM(30046,30054) = 451501242

Least Common Multiple (LCM) of 30046 and 30054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30046 and 30054. First we will calculate the prime factors of 30046 and 30054.

Prime Factorization of 30046

Prime factors of 30046 are 2, 83, 181. Prime factorization of 30046 in exponential form is:

30046 = 21 × 831 × 1811

Prime Factorization of 30054

Prime factors of 30054 are 2, 3, 5009. Prime factorization of 30054 in exponential form is:

30054 = 21 × 31 × 50091

Now multiplying the highest exponent prime factors to calculate the LCM of 30046 and 30054.

LCM(30046,30054) = 21 × 831 × 1811 × 31 × 50091
LCM(30046,30054) = 451501242