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What is the Least Common Multiple of 9005 and 9025?

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 9005 and 9025 is 16254025.

LCM(9005,9025) = 16254025

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Least Common Multiple of 9005 and 9025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9005 and 9025, than apply into the LCM equation.

GCF(9005,9025) = 5
LCM(9005,9025) = ( 9005 × 9025) / 5
LCM(9005,9025) = 81270125 / 5
LCM(9005,9025) = 16254025

Least Common Multiple (LCM) of 9005 and 9025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9005 and 9025. First we will calculate the prime factors of 9005 and 9025.

Prime Factorization of 9005

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

9005 = 51 × 18011

Prime Factorization of 9025

Prime factors of 9025 are 5, 19. Prime factorization of 9025 in exponential form is:

9025 = 52 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 9005 and 9025.

LCM(9005,9025) = 52 × 18011 × 192
LCM(9005,9025) = 16254025