What is the Least Common Multiple of 87579 and 87594?

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 87579 and 87594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87579 and 87594, than apply into the LCM equation.

GCF(87579,87594) = 3
LCM(87579,87594) = ( 87579 × 87594) / 3
LCM(87579,87594) = 7671394926 / 3
LCM(87579,87594) = 2557131642

Least Common Multiple (LCM) of 87579 and 87594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87579 and 87594. First we will calculate the prime factors of 87579 and 87594.

Prime Factorization of 87579

Prime Factorization of 87594

Now multiplying the highest exponent prime factors to calculate the LCM of 87579 and 87594.

LCM(87579,87594) = 3² × 37¹ × 263¹ × 2¹ × 13¹ × 1123¹
LCM(87579,87594) = 2557131642