What is the Least Common Multiple of 93993 and 94008?

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 93993 and 94008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93993 and 94008, than apply into the LCM equation.

GCF(93993,94008) = 3
LCM(93993,94008) = ( 93993 × 94008) / 3
LCM(93993,94008) = 8836093944 / 3
LCM(93993,94008) = 2945364648

Least Common Multiple (LCM) of 93993 and 94008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93993 and 94008. First we will calculate the prime factors of 93993 and 94008.

Prime Factorization of 93993

Prime Factorization of 94008

Now multiplying the highest exponent prime factors to calculate the LCM of 93993 and 94008.

LCM(93993,94008) = 3¹ × 17¹ × 19¹ × 97¹ × 2³ × 3917¹
LCM(93993,94008) = 2945364648