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What is the Least Common Multiple of 4578 and 4591?

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 4578 and 4591 is 21017598.

LCM(4578,4591) = 21017598

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Least Common Multiple of 4578 and 4591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4578 and 4591, than apply into the LCM equation.

GCF(4578,4591) = 1
LCM(4578,4591) = ( 4578 × 4591) / 1
LCM(4578,4591) = 21017598 / 1
LCM(4578,4591) = 21017598

Least Common Multiple (LCM) of 4578 and 4591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4578 and 4591. First we will calculate the prime factors of 4578 and 4591.

Prime Factorization of 4578

Prime factors of 4578 are 2, 3, 7, 109. Prime factorization of 4578 in exponential form is:

4578 = 21 × 31 × 71 × 1091

Prime Factorization of 4591

Prime factors of 4591 are 4591. Prime factorization of 4591 in exponential form is:

4591 = 45911

Now multiplying the highest exponent prime factors to calculate the LCM of 4578 and 4591.

LCM(4578,4591) = 21 × 31 × 71 × 1091 × 45911
LCM(4578,4591) = 21017598