What is the Least Common Multiple of 32053 and 32072?

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 32053 and 32072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32053 and 32072, than apply into the LCM equation.

GCF(32053,32072) = 19
LCM(32053,32072) = ( 32053 × 32072) / 19
LCM(32053,32072) = 1028003816 / 19
LCM(32053,32072) = 54105464

Least Common Multiple (LCM) of 32053 and 32072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32053 and 32072. First we will calculate the prime factors of 32053 and 32072.

Prime Factorization of 32053

Prime Factorization of 32072

Now multiplying the highest exponent prime factors to calculate the LCM of 32053 and 32072.

LCM(32053,32072) = 7¹ × 19¹ × 241¹ × 2³ × 211¹
LCM(32053,32072) = 54105464