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What is the Least Common Multiple of 9016 and 9027?

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 9016 and 9027 is 81387432.

LCM(9016,9027) = 81387432

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Least Common Multiple of 9016 and 9027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9016 and 9027, than apply into the LCM equation.

GCF(9016,9027) = 1
LCM(9016,9027) = ( 9016 × 9027) / 1
LCM(9016,9027) = 81387432 / 1
LCM(9016,9027) = 81387432

Least Common Multiple (LCM) of 9016 and 9027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9016 and 9027. First we will calculate the prime factors of 9016 and 9027.

Prime Factorization of 9016

Prime factors of 9016 are 2, 7, 23. Prime factorization of 9016 in exponential form is:

9016 = 23 × 72 × 231

Prime Factorization of 9027

Prime factors of 9027 are 3, 17, 59. Prime factorization of 9027 in exponential form is:

9027 = 32 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 9016 and 9027.

LCM(9016,9027) = 23 × 72 × 231 × 32 × 171 × 591
LCM(9016,9027) = 81387432