What is the Least Common Multiple of 32046 and 32063?

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 32063 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 32063, than apply into the LCM equation.

GCF(32046,32063) = 1
LCM(32046,32063) = ( 32046 × 32063) / 1
LCM(32046,32063) = 1027490898 / 1
LCM(32046,32063) = 1027490898

Least Common Multiple (LCM) of 32046 and 32063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32046 and 32063. First we will calculate the prime factors of 32046 and 32063.

Prime Factorization of 32046

Prime Factorization of 32063

Now multiplying the highest exponent prime factors to calculate the LCM of 32046 and 32063.

LCM(32046,32063) = 2¹ × 3¹ × 7² × 109¹ × 32063¹
LCM(32046,32063) = 1027490898