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What is the Least Common Multiple of 4485 and 4491?

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 4485 and 4491 is 6714045.

LCM(4485,4491) = 6714045

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Least Common Multiple of 4485 and 4491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4485 and 4491, than apply into the LCM equation.

GCF(4485,4491) = 3
LCM(4485,4491) = ( 4485 × 4491) / 3
LCM(4485,4491) = 20142135 / 3
LCM(4485,4491) = 6714045

Least Common Multiple (LCM) of 4485 and 4491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4485 and 4491. First we will calculate the prime factors of 4485 and 4491.

Prime Factorization of 4485

Prime factors of 4485 are 3, 5, 13, 23. Prime factorization of 4485 in exponential form is:

4485 = 31 × 51 × 131 × 231

Prime Factorization of 4491

Prime factors of 4491 are 3, 499. Prime factorization of 4491 in exponential form is:

4491 = 32 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 4485 and 4491.

LCM(4485,4491) = 32 × 51 × 131 × 231 × 4991
LCM(4485,4491) = 6714045