What is the Least Common Multiple of 74590 and 74604?

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 74590 and 74604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74590 and 74604, than apply into the LCM equation.

GCF(74590,74604) = 2
LCM(74590,74604) = ( 74590 × 74604) / 2
LCM(74590,74604) = 5564712360 / 2
LCM(74590,74604) = 2782356180

Least Common Multiple (LCM) of 74590 and 74604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74590 and 74604. First we will calculate the prime factors of 74590 and 74604.

Prime Factorization of 74590

Prime Factorization of 74604

Now multiplying the highest exponent prime factors to calculate the LCM of 74590 and 74604.

LCM(74590,74604) = 2² × 5¹ × 7459¹ × 3¹ × 6217¹
LCM(74590,74604) = 2782356180