What is the Least Common Multiple of 93966 and 93981?

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 93981 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 93981, than apply into the LCM equation.

GCF(93966,93981) = 3
LCM(93966,93981) = ( 93966 × 93981) / 3
LCM(93966,93981) = 8831018646 / 3
LCM(93966,93981) = 2943672882

Least Common Multiple (LCM) of 93966 and 93981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93966 and 93981. First we will calculate the prime factors of 93966 and 93981.

Prime Factorization of 93966

Prime Factorization of 93981

Now multiplying the highest exponent prime factors to calculate the LCM of 93966 and 93981.

LCM(93966,93981) = 2¹ × 3¹ × 15661¹ × 31327¹
LCM(93966,93981) = 2943672882