What is the Least Common Multiple of 96745 and 96759?

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 96745 and 96759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96745 and 96759, than apply into the LCM equation.

GCF(96745,96759) = 1
LCM(96745,96759) = ( 96745 × 96759) / 1
LCM(96745,96759) = 9360949455 / 1
LCM(96745,96759) = 9360949455

Least Common Multiple (LCM) of 96745 and 96759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96745 and 96759. First we will calculate the prime factors of 96745 and 96759.

Prime Factorization of 96745

Prime Factorization of 96759

Now multiplying the highest exponent prime factors to calculate the LCM of 96745 and 96759.

LCM(96745,96759) = 5¹ × 11¹ × 1759¹ × 3² × 13¹ × 827¹
LCM(96745,96759) = 9360949455