What is the Least Common Multiple of 93984 and 93993?

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 93984 and 93993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93984 and 93993, than apply into the LCM equation.

GCF(93984,93993) = 3
LCM(93984,93993) = ( 93984 × 93993) / 3
LCM(93984,93993) = 8833838112 / 3
LCM(93984,93993) = 2944612704

Least Common Multiple (LCM) of 93984 and 93993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93984 and 93993. First we will calculate the prime factors of 93984 and 93993.

Prime Factorization of 93984

Prime Factorization of 93993

Now multiplying the highest exponent prime factors to calculate the LCM of 93984 and 93993.

LCM(93984,93993) = 2⁵ × 3¹ × 11¹ × 89¹ × 17¹ × 19¹ × 97¹
LCM(93984,93993) = 2944612704