What is the Least Common Multiple of 78752 and 78756?

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 78752 and 78756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78752 and 78756, than apply into the LCM equation.

GCF(78752,78756) = 4
LCM(78752,78756) = ( 78752 × 78756) / 4
LCM(78752,78756) = 6202192512 / 4
LCM(78752,78756) = 1550548128

Least Common Multiple (LCM) of 78752 and 78756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78752 and 78756. First we will calculate the prime factors of 78752 and 78756.

Prime Factorization of 78752

Prime Factorization of 78756

Now multiplying the highest exponent prime factors to calculate the LCM of 78752 and 78756.

LCM(78752,78756) = 2⁵ × 23¹ × 107¹ × 3¹ × 6563¹
LCM(78752,78756) = 1550548128