What is the Least Common Multiple of 96993 and 97006?

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 97006 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 97006, than apply into the LCM equation.

GCF(96993,97006) = 13
LCM(96993,97006) = ( 96993 × 97006) / 13
LCM(96993,97006) = 9408902958 / 13
LCM(96993,97006) = 723761766

Least Common Multiple (LCM) of 96993 and 97006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96993 and 97006. First we will calculate the prime factors of 96993 and 97006.

Prime Factorization of 96993

Prime Factorization of 97006

Now multiplying the highest exponent prime factors to calculate the LCM of 96993 and 97006.

LCM(96993,97006) = 3² × 13² × 829¹ × 2¹ × 7¹ × 41¹
LCM(96993,97006) = 723761766