What is the Least Common Multiple of 78574 and 78594?

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 78574 and 78594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78574 and 78594, than apply into the LCM equation.

GCF(78574,78594) = 2
LCM(78574,78594) = ( 78574 × 78594) / 2
LCM(78574,78594) = 6175444956 / 2
LCM(78574,78594) = 3087722478

Least Common Multiple (LCM) of 78574 and 78594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78574 and 78594. First we will calculate the prime factors of 78574 and 78594.

Prime Factorization of 78574

Prime Factorization of 78594

Now multiplying the highest exponent prime factors to calculate the LCM of 78574 and 78594.

LCM(78574,78594) = 2¹ × 17¹ × 2311¹ × 3¹ × 13099¹
LCM(78574,78594) = 3087722478