What is the Least Common Multiple of 87807 and 87812?

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 87807 and 87812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87807 and 87812, than apply into the LCM equation.

GCF(87807,87812) = 1
LCM(87807,87812) = ( 87807 × 87812) / 1
LCM(87807,87812) = 7710508284 / 1
LCM(87807,87812) = 7710508284

Least Common Multiple (LCM) of 87807 and 87812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87807 and 87812. First we will calculate the prime factors of 87807 and 87812.

Prime Factorization of 87807

Prime Factorization of 87812

Now multiplying the highest exponent prime factors to calculate the LCM of 87807 and 87812.

LCM(87807,87812) = 3¹ × 29269¹ × 2² × 29¹ × 757¹
LCM(87807,87812) = 7710508284