What is the Least Common Multiple of 75576 and 75594?

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 75576 and 75594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75576 and 75594, than apply into the LCM equation.

GCF(75576,75594) = 6
LCM(75576,75594) = ( 75576 × 75594) / 6
LCM(75576,75594) = 5713092144 / 6
LCM(75576,75594) = 952182024

Least Common Multiple (LCM) of 75576 and 75594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75576 and 75594. First we will calculate the prime factors of 75576 and 75594.

Prime Factorization of 75576

Prime Factorization of 75594

Now multiplying the highest exponent prime factors to calculate the LCM of 75576 and 75594.

LCM(75576,75594) = 2³ × 3¹ × 47¹ × 67¹ × 43¹ × 293¹
LCM(75576,75594) = 952182024