What is the Least Common Multiple of 81753 and 81759?

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 81753 and 81759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81753 and 81759, than apply into the LCM equation.

GCF(81753,81759) = 3
LCM(81753,81759) = ( 81753 × 81759) / 3
LCM(81753,81759) = 6684043527 / 3
LCM(81753,81759) = 2228014509

Least Common Multiple (LCM) of 81753 and 81759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81753 and 81759. First we will calculate the prime factors of 81753 and 81759.

Prime Factorization of 81753

Prime Factorization of 81759

Now multiplying the highest exponent prime factors to calculate the LCM of 81753 and 81759.

LCM(81753,81759) = 3¹ × 7¹ × 17¹ × 229¹ × 27253¹
LCM(81753,81759) = 2228014509