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What is the Least Common Multiple of 7521 and 7530?

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 7521 and 7530 is 18877710.

LCM(7521,7530) = 18877710

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Least Common Multiple of 7521 and 7530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7521 and 7530, than apply into the LCM equation.

GCF(7521,7530) = 3
LCM(7521,7530) = ( 7521 × 7530) / 3
LCM(7521,7530) = 56633130 / 3
LCM(7521,7530) = 18877710

Least Common Multiple (LCM) of 7521 and 7530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7521 and 7530. First we will calculate the prime factors of 7521 and 7530.

Prime Factorization of 7521

Prime factors of 7521 are 3, 23, 109. Prime factorization of 7521 in exponential form is:

7521 = 31 × 231 × 1091

Prime Factorization of 7530

Prime factors of 7530 are 2, 3, 5, 251. Prime factorization of 7530 in exponential form is:

7530 = 21 × 31 × 51 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 7521 and 7530.

LCM(7521,7530) = 31 × 231 × 1091 × 21 × 51 × 2511
LCM(7521,7530) = 18877710