What is the Least Common Multiple of 80752 and 80768?

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 80752 and 80768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80752 and 80768, than apply into the LCM equation.

GCF(80752,80768) = 16
LCM(80752,80768) = ( 80752 × 80768) / 16
LCM(80752,80768) = 6522177536 / 16
LCM(80752,80768) = 407636096

Least Common Multiple (LCM) of 80752 and 80768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80752 and 80768. First we will calculate the prime factors of 80752 and 80768.

Prime Factorization of 80752

Prime Factorization of 80768

Now multiplying the highest exponent prime factors to calculate the LCM of 80752 and 80768.

LCM(80752,80768) = 2⁷ × 7² × 103¹ × 631¹
LCM(80752,80768) = 407636096