What is the Least Common Multiple of 93096 and 93104?

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 93104 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 93104, than apply into the LCM equation.

GCF(93096,93104) = 8
LCM(93096,93104) = ( 93096 × 93104) / 8
LCM(93096,93104) = 8667609984 / 8
LCM(93096,93104) = 1083451248

Least Common Multiple (LCM) of 93096 and 93104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93096 and 93104. First we will calculate the prime factors of 93096 and 93104.

Prime Factorization of 93096

Prime Factorization of 93104

Now multiplying the highest exponent prime factors to calculate the LCM of 93096 and 93104.

LCM(93096,93104) = 2⁴ × 3³ × 431¹ × 11¹ × 23²
LCM(93096,93104) = 1083451248