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What is the Least Common Multiple of 9021 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 9021 and 9038 is 81531798.

LCM(9021,9038) = 81531798

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Least Common Multiple of 9021 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 9021 and 9038, than apply into the LCM equation.

GCF(9021,9038) = 1
LCM(9021,9038) = ( 9021 × 9038) / 1
LCM(9021,9038) = 81531798 / 1
LCM(9021,9038) = 81531798

Least Common Multiple (LCM) of 9021 and 9038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9021 and 9038. First we will calculate the prime factors of 9021 and 9038.

Prime Factorization of 9021

Prime factors of 9021 are 3, 31, 97. Prime factorization of 9021 in exponential form is:

9021 = 31 × 311 × 971

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 9021 and 9038.

LCM(9021,9038) = 31 × 311 × 971 × 21 × 45191
LCM(9021,9038) = 81531798