What is the Least Common Multiple of 7578 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 of 7578 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 7578 and 7594, than apply into the LCM equation.

GCF(7578,7594) = 2
LCM(7578,7594) = ( 7578 × 7594) / 2
LCM(7578,7594) = 57547332 / 2
LCM(7578,7594) = 28773666

Least Common Multiple (LCM) of 7578 and 7594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7578 and 7594. First we will calculate the prime factors of 7578 and 7594.

Prime Factorization of 7578

Prime Factorization of 7594

Now multiplying the highest exponent prime factors to calculate the LCM of 7578 and 7594.

LCM(7578,7594) = 2¹ × 3² × 421¹ × 3797¹
LCM(7578,7594) = 28773666