What is the Least Common Multiple of 32745 and 32749?

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 32745 and 32749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32745 and 32749, than apply into the LCM equation.

GCF(32745,32749) = 1
LCM(32745,32749) = ( 32745 × 32749) / 1
LCM(32745,32749) = 1072366005 / 1
LCM(32745,32749) = 1072366005

Least Common Multiple (LCM) of 32745 and 32749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32745 and 32749. First we will calculate the prime factors of 32745 and 32749.

Prime Factorization of 32745

Prime Factorization of 32749

Now multiplying the highest exponent prime factors to calculate the LCM of 32745 and 32749.

LCM(32745,32749) = 3¹ × 5¹ × 37¹ × 59¹ × 32749¹
LCM(32745,32749) = 1072366005