What is the Least Common Multiple of 32046 and 32064?

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 32046 and 32064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32046 and 32064, than apply into the LCM equation.

GCF(32046,32064) = 6
LCM(32046,32064) = ( 32046 × 32064) / 6
LCM(32046,32064) = 1027522944 / 6
LCM(32046,32064) = 171253824

Least Common Multiple (LCM) of 32046 and 32064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32046 and 32064. First we will calculate the prime factors of 32046 and 32064.

Prime Factorization of 32046

Prime Factorization of 32064

Now multiplying the highest exponent prime factors to calculate the LCM of 32046 and 32064.

LCM(32046,32064) = 2⁶ × 3¹ × 7² × 109¹ × 167¹
LCM(32046,32064) = 171253824