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What is the Least Common Multiple of 4503 and 4520?

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 4503 and 4520 is 20353560.

LCM(4503,4520) = 20353560

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Least Common Multiple of 4503 and 4520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4503 and 4520, than apply into the LCM equation.

GCF(4503,4520) = 1
LCM(4503,4520) = ( 4503 × 4520) / 1
LCM(4503,4520) = 20353560 / 1
LCM(4503,4520) = 20353560

Least Common Multiple (LCM) of 4503 and 4520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4503 and 4520. First we will calculate the prime factors of 4503 and 4520.

Prime Factorization of 4503

Prime factors of 4503 are 3, 19, 79. Prime factorization of 4503 in exponential form is:

4503 = 31 × 191 × 791

Prime Factorization of 4520

Prime factors of 4520 are 2, 5, 113. Prime factorization of 4520 in exponential form is:

4520 = 23 × 51 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4503 and 4520.

LCM(4503,4520) = 31 × 191 × 791 × 23 × 51 × 1131
LCM(4503,4520) = 20353560