What is the Least Common Multiple of 32701 and 32705?

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 32701 and 32705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32701 and 32705, than apply into the LCM equation.

GCF(32701,32705) = 1
LCM(32701,32705) = ( 32701 × 32705) / 1
LCM(32701,32705) = 1069486205 / 1
LCM(32701,32705) = 1069486205

Least Common Multiple (LCM) of 32701 and 32705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32701 and 32705. First we will calculate the prime factors of 32701 and 32705.

Prime Factorization of 32701

Prime Factorization of 32705

Now multiplying the highest exponent prime factors to calculate the LCM of 32701 and 32705.

LCM(32701,32705) = 53¹ × 617¹ × 5¹ × 31¹ × 211¹
LCM(32701,32705) = 1069486205