What is the Least Common Multiple of 87916 and 87929?

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 87916 and 87929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87916 and 87929, than apply into the LCM equation.

GCF(87916,87929) = 1
LCM(87916,87929) = ( 87916 × 87929) / 1
LCM(87916,87929) = 7730365964 / 1
LCM(87916,87929) = 7730365964

Least Common Multiple (LCM) of 87916 and 87929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87916 and 87929. First we will calculate the prime factors of 87916 and 87929.

Prime Factorization of 87916

Prime Factorization of 87929

Now multiplying the highest exponent prime factors to calculate the LCM of 87916 and 87929.

LCM(87916,87929) = 2² × 31¹ × 709¹ × 23¹ × 3823¹
LCM(87916,87929) = 7730365964