What is the Least Common Multiple of 34741 and 34759?

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 34741 and 34759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34741 and 34759, than apply into the LCM equation.

GCF(34741,34759) = 1
LCM(34741,34759) = ( 34741 × 34759) / 1
LCM(34741,34759) = 1207562419 / 1
LCM(34741,34759) = 1207562419

Least Common Multiple (LCM) of 34741 and 34759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34741 and 34759. First we will calculate the prime factors of 34741 and 34759.

Prime Factorization of 34741

Prime Factorization of 34759

Now multiplying the highest exponent prime factors to calculate the LCM of 34741 and 34759.

LCM(34741,34759) = 7² × 709¹ × 34759¹
LCM(34741,34759) = 1207562419