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What is the Least Common Multiple of 9015 and 9028?

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 9015 and 9028 is 81387420.

LCM(9015,9028) = 81387420

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Least Common Multiple of 9015 and 9028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9015 and 9028, than apply into the LCM equation.

GCF(9015,9028) = 1
LCM(9015,9028) = ( 9015 × 9028) / 1
LCM(9015,9028) = 81387420 / 1
LCM(9015,9028) = 81387420

Least Common Multiple (LCM) of 9015 and 9028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9015 and 9028. First we will calculate the prime factors of 9015 and 9028.

Prime Factorization of 9015

Prime factors of 9015 are 3, 5, 601. Prime factorization of 9015 in exponential form is:

9015 = 31 × 51 × 6011

Prime Factorization of 9028

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

9028 = 22 × 371 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 9015 and 9028.

LCM(9015,9028) = 31 × 51 × 6011 × 22 × 371 × 611
LCM(9015,9028) = 81387420