What is the Least Common Multiple of 64014 and 64032?

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 64014 and 64032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64014 and 64032, than apply into the LCM equation.

GCF(64014,64032) = 6
LCM(64014,64032) = ( 64014 × 64032) / 6
LCM(64014,64032) = 4098944448 / 6
LCM(64014,64032) = 683157408

Least Common Multiple (LCM) of 64014 and 64032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64014 and 64032. First we will calculate the prime factors of 64014 and 64032.

Prime Factorization of 64014

Prime Factorization of 64032

Now multiplying the highest exponent prime factors to calculate the LCM of 64014 and 64032.

LCM(64014,64032) = 2⁵ × 3¹ × 47¹ × 227¹ × 23¹ × 29¹
LCM(64014,64032) = 683157408