What is the Least Common Multiple of 32916 and 32933?

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 32916 and 32933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32916 and 32933, than apply into the LCM equation.

GCF(32916,32933) = 1
LCM(32916,32933) = ( 32916 × 32933) / 1
LCM(32916,32933) = 1084022628 / 1
LCM(32916,32933) = 1084022628

Least Common Multiple (LCM) of 32916 and 32933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32916 and 32933. First we will calculate the prime factors of 32916 and 32933.

Prime Factorization of 32916

Prime Factorization of 32933

Now multiplying the highest exponent prime factors to calculate the LCM of 32916 and 32933.

LCM(32916,32933) = 2² × 3¹ × 13¹ × 211¹ × 32933¹
LCM(32916,32933) = 1084022628