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What is the Least Common Multiple of 7573 and 7581?

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 7573 and 7581 is 57410913.

LCM(7573,7581) = 57410913

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Least Common Multiple of 7573 and 7581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7573 and 7581, than apply into the LCM equation.

GCF(7573,7581) = 1
LCM(7573,7581) = ( 7573 × 7581) / 1
LCM(7573,7581) = 57410913 / 1
LCM(7573,7581) = 57410913

Least Common Multiple (LCM) of 7573 and 7581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7573 and 7581. First we will calculate the prime factors of 7573 and 7581.

Prime Factorization of 7573

Prime factors of 7573 are 7573. Prime factorization of 7573 in exponential form is:

7573 = 75731

Prime Factorization of 7581

Prime factors of 7581 are 3, 7, 19. Prime factorization of 7581 in exponential form is:

7581 = 31 × 71 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 7573 and 7581.

LCM(7573,7581) = 75731 × 31 × 71 × 192
LCM(7573,7581) = 57410913