What is the Least Common Multiple of 32034 and 32053?

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 32034 and 32053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32034 and 32053, than apply into the LCM equation.

GCF(32034,32053) = 19
LCM(32034,32053) = ( 32034 × 32053) / 19
LCM(32034,32053) = 1026785802 / 19
LCM(32034,32053) = 54041358

Least Common Multiple (LCM) of 32034 and 32053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32034 and 32053. First we will calculate the prime factors of 32034 and 32053.

Prime Factorization of 32034

Prime Factorization of 32053

Now multiplying the highest exponent prime factors to calculate the LCM of 32034 and 32053.

LCM(32034,32053) = 2¹ × 3¹ × 19¹ × 281¹ × 7¹ × 241¹
LCM(32034,32053) = 54041358