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What is the Least Common Multiple of 7503 and 7521?

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 7503 and 7521 is 18810021.

LCM(7503,7521) = 18810021

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Least Common Multiple of 7503 and 7521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7503 and 7521, than apply into the LCM equation.

GCF(7503,7521) = 3
LCM(7503,7521) = ( 7503 × 7521) / 3
LCM(7503,7521) = 56430063 / 3
LCM(7503,7521) = 18810021

Least Common Multiple (LCM) of 7503 and 7521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7503 and 7521. First we will calculate the prime factors of 7503 and 7521.

Prime Factorization of 7503

Prime factors of 7503 are 3, 41, 61. Prime factorization of 7503 in exponential form is:

7503 = 31 × 411 × 611

Prime Factorization of 7521

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

7521 = 31 × 231 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7503 and 7521.

LCM(7503,7521) = 31 × 411 × 611 × 231 × 1091
LCM(7503,7521) = 18810021