What is the Least Common Multiple of 32614 and 32633?

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 32633 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 32633, than apply into the LCM equation.

GCF(32614,32633) = 1
LCM(32614,32633) = ( 32614 × 32633) / 1
LCM(32614,32633) = 1064292662 / 1
LCM(32614,32633) = 1064292662

Least Common Multiple (LCM) of 32614 and 32633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32614 and 32633. First we will calculate the prime factors of 32614 and 32633.

Prime Factorization of 32614

Prime Factorization of 32633

Now multiplying the highest exponent prime factors to calculate the LCM of 32614 and 32633.

LCM(32614,32633) = 2¹ × 23¹ × 709¹ × 32633¹
LCM(32614,32633) = 1064292662