What is the Least Common Multiple of 81072 and 81078?

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 81072 and 81078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81072 and 81078, than apply into the LCM equation.

GCF(81072,81078) = 6
LCM(81072,81078) = ( 81072 × 81078) / 6
LCM(81072,81078) = 6573155616 / 6
LCM(81072,81078) = 1095525936

Least Common Multiple (LCM) of 81072 and 81078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81072 and 81078. First we will calculate the prime factors of 81072 and 81078.

Prime Factorization of 81072

Prime Factorization of 81078

Now multiplying the highest exponent prime factors to calculate the LCM of 81072 and 81078.

LCM(81072,81078) = 2⁴ × 3² × 563¹ × 13513¹
LCM(81072,81078) = 1095525936