What is the Least Common Multiple of 34725 and 34741?

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 34725 and 34741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34725 and 34741, than apply into the LCM equation.

GCF(34725,34741) = 1
LCM(34725,34741) = ( 34725 × 34741) / 1
LCM(34725,34741) = 1206381225 / 1
LCM(34725,34741) = 1206381225

Least Common Multiple (LCM) of 34725 and 34741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34725 and 34741. First we will calculate the prime factors of 34725 and 34741.

Prime Factorization of 34725

Prime Factorization of 34741

Now multiplying the highest exponent prime factors to calculate the LCM of 34725 and 34741.

LCM(34725,34741) = 3¹ × 5² × 463¹ × 7² × 709¹
LCM(34725,34741) = 1206381225