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What is the Least Common Multiple of 9028 and 9045?

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 9028 and 9045 is 81658260.

LCM(9028,9045) = 81658260

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Least Common Multiple of 9028 and 9045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9028 and 9045, than apply into the LCM equation.

GCF(9028,9045) = 1
LCM(9028,9045) = ( 9028 × 9045) / 1
LCM(9028,9045) = 81658260 / 1
LCM(9028,9045) = 81658260

Least Common Multiple (LCM) of 9028 and 9045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9028 and 9045. First we will calculate the prime factors of 9028 and 9045.

Prime Factorization of 9028

Prime factors of 9028 are 2, 37, 61. Prime factorization of 9028 in exponential form is:

9028 = 22 × 371 × 611

Prime Factorization of 9045

Prime factors of 9045 are 3, 5, 67. Prime factorization of 9045 in exponential form is:

9045 = 33 × 51 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 9028 and 9045.

LCM(9028,9045) = 22 × 371 × 611 × 33 × 51 × 671
LCM(9028,9045) = 81658260