GCF and LCM Calculator Logo

What is the Least Common Multiple of 30022 and 30040?

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 30022 and 30040 is 450930440.

LCM(30022,30040) = 450930440

LCM Calculator and
and

Least Common Multiple of 30022 and 30040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30022 and 30040, than apply into the LCM equation.

GCF(30022,30040) = 2
LCM(30022,30040) = ( 30022 × 30040) / 2
LCM(30022,30040) = 901860880 / 2
LCM(30022,30040) = 450930440

Least Common Multiple (LCM) of 30022 and 30040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30022 and 30040. First we will calculate the prime factors of 30022 and 30040.

Prime Factorization of 30022

Prime factors of 30022 are 2, 17, 883. Prime factorization of 30022 in exponential form is:

30022 = 21 × 171 × 8831

Prime Factorization of 30040

Prime factors of 30040 are 2, 5, 751. Prime factorization of 30040 in exponential form is:

30040 = 23 × 51 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 30022 and 30040.

LCM(30022,30040) = 23 × 171 × 8831 × 51 × 7511
LCM(30022,30040) = 450930440