What is the Least Common Multiple of 93078 and 93096?

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 93078 and 93096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93078 and 93096, than apply into the LCM equation.

GCF(93078,93096) = 18
LCM(93078,93096) = ( 93078 × 93096) / 18
LCM(93078,93096) = 8665189488 / 18
LCM(93078,93096) = 481399416

Least Common Multiple (LCM) of 93078 and 93096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93078 and 93096. First we will calculate the prime factors of 93078 and 93096.

Prime Factorization of 93078

Prime Factorization of 93096

Now multiplying the highest exponent prime factors to calculate the LCM of 93078 and 93096.

LCM(93078,93096) = 2³ × 3³ × 5171¹ × 431¹
LCM(93078,93096) = 481399416