What is the Least Common Multiple of 89102 and 89116?

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 89102 and 89116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89102 and 89116, than apply into the LCM equation.

GCF(89102,89116) = 2
LCM(89102,89116) = ( 89102 × 89116) / 2
LCM(89102,89116) = 7940413832 / 2
LCM(89102,89116) = 3970206916

Least Common Multiple (LCM) of 89102 and 89116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89102 and 89116. First we will calculate the prime factors of 89102 and 89116.

Prime Factorization of 89102

Prime Factorization of 89116

Now multiplying the highest exponent prime factors to calculate the LCM of 89102 and 89116.

LCM(89102,89116) = 2² × 13¹ × 23¹ × 149¹ × 22279¹
LCM(89102,89116) = 3970206916