What is the Least Common Multiple of 32694 and 32703?

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 32694 and 32703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32694 and 32703, than apply into the LCM equation.

GCF(32694,32703) = 3
LCM(32694,32703) = ( 32694 × 32703) / 3
LCM(32694,32703) = 1069191882 / 3
LCM(32694,32703) = 356397294

Least Common Multiple (LCM) of 32694 and 32703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32694 and 32703. First we will calculate the prime factors of 32694 and 32703.

Prime Factorization of 32694

Prime Factorization of 32703

Now multiplying the highest exponent prime factors to calculate the LCM of 32694 and 32703.

LCM(32694,32703) = 2¹ × 3¹ × 5449¹ × 11¹ × 991¹
LCM(32694,32703) = 356397294