What is the Least Common Multiple of 93096 and 93103?

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 93096 and 93103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93096 and 93103, than apply into the LCM equation.

GCF(93096,93103) = 1
LCM(93096,93103) = ( 93096 × 93103) / 1
LCM(93096,93103) = 8667516888 / 1
LCM(93096,93103) = 8667516888

Least Common Multiple (LCM) of 93096 and 93103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93096 and 93103. First we will calculate the prime factors of 93096 and 93103.

Prime Factorization of 93096

Prime Factorization of 93103

Now multiplying the highest exponent prime factors to calculate the LCM of 93096 and 93103.

LCM(93096,93103) = 2³ × 3³ × 431¹ × 93103¹
LCM(93096,93103) = 8667516888