What is the Least Common Multiple of 84759 and 84779?

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 84759 and 84779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84759 and 84779, than apply into the LCM equation.

GCF(84759,84779) = 1
LCM(84759,84779) = ( 84759 × 84779) / 1
LCM(84759,84779) = 7185783261 / 1
LCM(84759,84779) = 7185783261

Least Common Multiple (LCM) of 84759 and 84779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84759 and 84779. First we will calculate the prime factors of 84759 and 84779.

Prime Factorization of 84759

Prime Factorization of 84779

Now multiplying the highest exponent prime factors to calculate the LCM of 84759 and 84779.

LCM(84759,84779) = 3¹ × 19¹ × 1487¹ × 17¹ × 4987¹
LCM(84759,84779) = 7185783261