What is the Least Common Multiple of 96773 and 96791?

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 96773 and 96791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96773 and 96791, than apply into the LCM equation.

GCF(96773,96791) = 1
LCM(96773,96791) = ( 96773 × 96791) / 1
LCM(96773,96791) = 9366755443 / 1
LCM(96773,96791) = 9366755443

Least Common Multiple (LCM) of 96773 and 96791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96773 and 96791. First we will calculate the prime factors of 96773 and 96791.

Prime Factorization of 96773

Prime Factorization of 96791

Now multiplying the highest exponent prime factors to calculate the LCM of 96773 and 96791.

LCM(96773,96791) = 29¹ × 47¹ × 71¹ × 151¹ × 641¹
LCM(96773,96791) = 9366755443