What is the Least Common Multiple of 74609 and 74627?

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 74609 and 74627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74609 and 74627, than apply into the LCM equation.

GCF(74609,74627) = 1
LCM(74609,74627) = ( 74609 × 74627) / 1
LCM(74609,74627) = 5567845843 / 1
LCM(74609,74627) = 5567845843

Least Common Multiple (LCM) of 74609 and 74627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74609 and 74627. First we will calculate the prime factors of 74609 and 74627.

Prime Factorization of 74609

Prime Factorization of 74627

Now multiplying the highest exponent prime factors to calculate the LCM of 74609 and 74627.

LCM(74609,74627) = 74609¹ × 7² × 1523¹
LCM(74609,74627) = 5567845843