What is the Least Common Multiple of 32614 and 32621?

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 32614 and 32621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32614 and 32621, than apply into the LCM equation.

GCF(32614,32621) = 1
LCM(32614,32621) = ( 32614 × 32621) / 1
LCM(32614,32621) = 1063901294 / 1
LCM(32614,32621) = 1063901294

Least Common Multiple (LCM) of 32614 and 32621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32614 and 32621. First we will calculate the prime factors of 32614 and 32621.

Prime Factorization of 32614

Prime Factorization of 32621

Now multiplying the highest exponent prime factors to calculate the LCM of 32614 and 32621.

LCM(32614,32621) = 2¹ × 23¹ × 709¹ × 32621¹
LCM(32614,32621) = 1063901294