What is the Least Common Multiple of 32014 and 32029?

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 32029 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 32029, than apply into the LCM equation.

GCF(32014,32029) = 1
LCM(32014,32029) = ( 32014 × 32029) / 1
LCM(32014,32029) = 1025376406 / 1
LCM(32014,32029) = 1025376406

Least Common Multiple (LCM) of 32014 and 32029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32014 and 32029. First we will calculate the prime factors of 32014 and 32029.

Prime Factorization of 32014

Prime Factorization of 32029

Now multiplying the highest exponent prime factors to calculate the LCM of 32014 and 32029.

LCM(32014,32029) = 2¹ × 16007¹ × 32029¹
LCM(32014,32029) = 1025376406