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What is the Least Common Multiple of 9030 and 9038?

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 9030 and 9038 is 40806570.

LCM(9030,9038) = 40806570

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Least Common Multiple of 9030 and 9038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9030 and 9038, than apply into the LCM equation.

GCF(9030,9038) = 2
LCM(9030,9038) = ( 9030 × 9038) / 2
LCM(9030,9038) = 81613140 / 2
LCM(9030,9038) = 40806570

Least Common Multiple (LCM) of 9030 and 9038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9030 and 9038. First we will calculate the prime factors of 9030 and 9038.

Prime Factorization of 9030

Prime factors of 9030 are 2, 3, 5, 7, 43. Prime factorization of 9030 in exponential form is:

9030 = 21 × 31 × 51 × 71 × 431

Prime Factorization of 9038

Prime factors of 9038 are 2, 4519. Prime factorization of 9038 in exponential form is:

9038 = 21 × 45191

Now multiplying the highest exponent prime factors to calculate the LCM of 9030 and 9038.

LCM(9030,9038) = 21 × 31 × 51 × 71 × 431 × 45191
LCM(9030,9038) = 40806570