What is the Least Common Multiple of 32909 and 32916?

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 32909 and 32916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32909 and 32916, than apply into the LCM equation.

GCF(32909,32916) = 1
LCM(32909,32916) = ( 32909 × 32916) / 1
LCM(32909,32916) = 1083232644 / 1
LCM(32909,32916) = 1083232644

Least Common Multiple (LCM) of 32909 and 32916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32909 and 32916. First we will calculate the prime factors of 32909 and 32916.

Prime Factorization of 32909

Prime Factorization of 32916

Now multiplying the highest exponent prime factors to calculate the LCM of 32909 and 32916.

LCM(32909,32916) = 32909¹ × 2² × 3¹ × 13¹ × 211¹
LCM(32909,32916) = 1083232644