What is the Least Common Multiple of 96993 and 97001?

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 96993 and 97001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96993 and 97001, than apply into the LCM equation.

GCF(96993,97001) = 1
LCM(96993,97001) = ( 96993 × 97001) / 1
LCM(96993,97001) = 9408417993 / 1
LCM(96993,97001) = 9408417993

Least Common Multiple (LCM) of 96993 and 97001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96993 and 97001. First we will calculate the prime factors of 96993 and 97001.

Prime Factorization of 96993

Prime Factorization of 97001

Now multiplying the highest exponent prime factors to calculate the LCM of 96993 and 97001.

LCM(96993,97001) = 3² × 13¹ × 829¹ × 97001¹
LCM(96993,97001) = 9408417993