What is the Least Common Multiple of 32014 and 32032?

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 32014 and 32032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32014 and 32032, than apply into the LCM equation.

GCF(32014,32032) = 2
LCM(32014,32032) = ( 32014 × 32032) / 2
LCM(32014,32032) = 1025472448 / 2
LCM(32014,32032) = 512736224

Least Common Multiple (LCM) of 32014 and 32032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32014 and 32032. First we will calculate the prime factors of 32014 and 32032.

Prime Factorization of 32014

Prime Factorization of 32032

Now multiplying the highest exponent prime factors to calculate the LCM of 32014 and 32032.

LCM(32014,32032) = 2⁵ × 16007¹ × 7¹ × 11¹ × 13¹
LCM(32014,32032) = 512736224