What is the Least Common Multiple of 78772 and 78792?

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 78772 and 78792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78772 and 78792, than apply into the LCM equation.

GCF(78772,78792) = 4
LCM(78772,78792) = ( 78772 × 78792) / 4
LCM(78772,78792) = 6206603424 / 4
LCM(78772,78792) = 1551650856

Least Common Multiple (LCM) of 78772 and 78792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78772 and 78792. First we will calculate the prime factors of 78772 and 78792.

Prime Factorization of 78772

Prime Factorization of 78792

Now multiplying the highest exponent prime factors to calculate the LCM of 78772 and 78792.

LCM(78772,78792) = 2³ × 47¹ × 419¹ × 3¹ × 7² × 67¹
LCM(78772,78792) = 1551650856