What is the Least Common Multiple of 89769 and 89779?

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 89769 and 89779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89769 and 89779, than apply into the LCM equation.

GCF(89769,89779) = 1
LCM(89769,89779) = ( 89769 × 89779) / 1
LCM(89769,89779) = 8059371051 / 1
LCM(89769,89779) = 8059371051

Least Common Multiple (LCM) of 89769 and 89779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89769 and 89779. First we will calculate the prime factors of 89769 and 89779.

Prime Factorization of 89769

Prime Factorization of 89779

Now multiplying the highest exponent prime factors to calculate the LCM of 89769 and 89779.

LCM(89769,89779) = 3¹ × 23¹ × 1301¹ × 89779¹
LCM(89769,89779) = 8059371051