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What is the Least Common Multiple of 7574 and 7594?

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 7574 and 7594 is 28758478.

LCM(7574,7594) = 28758478

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Least Common Multiple of 7574 and 7594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7574 and 7594, than apply into the LCM equation.

GCF(7574,7594) = 2
LCM(7574,7594) = ( 7574 × 7594) / 2
LCM(7574,7594) = 57516956 / 2
LCM(7574,7594) = 28758478

Least Common Multiple (LCM) of 7574 and 7594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7574 and 7594. First we will calculate the prime factors of 7574 and 7594.

Prime Factorization of 7574

Prime factors of 7574 are 2, 7, 541. Prime factorization of 7574 in exponential form is:

7574 = 21 × 71 × 5411

Prime Factorization of 7594

Prime factors of 7594 are 2, 3797. Prime factorization of 7594 in exponential form is:

7594 = 21 × 37971

Now multiplying the highest exponent prime factors to calculate the LCM of 7574 and 7594.

LCM(7574,7594) = 21 × 71 × 5411 × 37971
LCM(7574,7594) = 28758478