What is the Least Common Multiple of 69489 and 69509?

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 69489 and 69509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69489 and 69509, than apply into the LCM equation.

GCF(69489,69509) = 1
LCM(69489,69509) = ( 69489 × 69509) / 1
LCM(69489,69509) = 4830110901 / 1
LCM(69489,69509) = 4830110901

Least Common Multiple (LCM) of 69489 and 69509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69489 and 69509. First we will calculate the prime factors of 69489 and 69509.

Prime Factorization of 69489

Prime Factorization of 69509

Now multiplying the highest exponent prime factors to calculate the LCM of 69489 and 69509.

LCM(69489,69509) = 3² × 7¹ × 1103¹ × 11¹ × 71¹ × 89¹
LCM(69489,69509) = 4830110901