What is the Least Common Multiple of 34741 and 34748?

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 34748 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 34748, than apply into the LCM equation.

GCF(34741,34748) = 7
LCM(34741,34748) = ( 34741 × 34748) / 7
LCM(34741,34748) = 1207180268 / 7
LCM(34741,34748) = 172454324

Least Common Multiple (LCM) of 34741 and 34748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34741 and 34748. First we will calculate the prime factors of 34741 and 34748.

Prime Factorization of 34741

Prime Factorization of 34748

Now multiplying the highest exponent prime factors to calculate the LCM of 34741 and 34748.

LCM(34741,34748) = 7² × 709¹ × 2² × 17¹ × 73¹
LCM(34741,34748) = 172454324