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What is the Least Common Multiple of 8996 and 9005?

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 8996 and 9005 is 81008980.

LCM(8996,9005) = 81008980

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Least Common Multiple of 8996 and 9005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8996 and 9005, than apply into the LCM equation.

GCF(8996,9005) = 1
LCM(8996,9005) = ( 8996 × 9005) / 1
LCM(8996,9005) = 81008980 / 1
LCM(8996,9005) = 81008980

Least Common Multiple (LCM) of 8996 and 9005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8996 and 9005. First we will calculate the prime factors of 8996 and 9005.

Prime Factorization of 8996

Prime factors of 8996 are 2, 13, 173. Prime factorization of 8996 in exponential form is:

8996 = 22 × 131 × 1731

Prime Factorization of 9005

Prime factors of 9005 are 5, 1801. Prime factorization of 9005 in exponential form is:

9005 = 51 × 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 8996 and 9005.

LCM(8996,9005) = 22 × 131 × 1731 × 51 × 18011
LCM(8996,9005) = 81008980