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What is the Least Common Multiple of 30021 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 30021 and 30040 is 901830840.

LCM(30021,30040) = 901830840

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Least Common Multiple of 30021 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 30021 and 30040, than apply into the LCM equation.

GCF(30021,30040) = 1
LCM(30021,30040) = ( 30021 × 30040) / 1
LCM(30021,30040) = 901830840 / 1
LCM(30021,30040) = 901830840

Least Common Multiple (LCM) of 30021 and 30040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30021 and 30040. First we will calculate the prime factors of 30021 and 30040.

Prime Factorization of 30021

Prime factors of 30021 are 3, 10007. Prime factorization of 30021 in exponential form is:

30021 = 31 × 100071

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 30021 and 30040.

LCM(30021,30040) = 31 × 100071 × 23 × 51 × 7511
LCM(30021,30040) = 901830840