What is the Least Common Multiple of 93966 and 93973?

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 93966 and 93973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93966 and 93973, than apply into the LCM equation.

GCF(93966,93973) = 1
LCM(93966,93973) = ( 93966 × 93973) / 1
LCM(93966,93973) = 8830266918 / 1
LCM(93966,93973) = 8830266918

Least Common Multiple (LCM) of 93966 and 93973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93966 and 93973. First we will calculate the prime factors of 93966 and 93973.

Prime Factorization of 93966

Prime Factorization of 93973

Now multiplying the highest exponent prime factors to calculate the LCM of 93966 and 93973.

LCM(93966,93973) = 2¹ × 3¹ × 15661¹ × 11¹ × 8543¹
LCM(93966,93973) = 8830266918