What is the Least Common Multiple of 32072 and 32078?

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 32072 and 32078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32072 and 32078, than apply into the LCM equation.

GCF(32072,32078) = 2
LCM(32072,32078) = ( 32072 × 32078) / 2
LCM(32072,32078) = 1028805616 / 2
LCM(32072,32078) = 514402808

Least Common Multiple (LCM) of 32072 and 32078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32072 and 32078. First we will calculate the prime factors of 32072 and 32078.

Prime Factorization of 32072

Prime Factorization of 32078

Now multiplying the highest exponent prime factors to calculate the LCM of 32072 and 32078.

LCM(32072,32078) = 2³ × 19¹ × 211¹ × 43¹ × 373¹
LCM(32072,32078) = 514402808