What is the Least Common Multiple of 69509 and 69523?

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 69509 and 69523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69509 and 69523, than apply into the LCM equation.

GCF(69509,69523) = 1
LCM(69509,69523) = ( 69509 × 69523) / 1
LCM(69509,69523) = 4832474207 / 1
LCM(69509,69523) = 4832474207

Least Common Multiple (LCM) of 69509 and 69523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69509 and 69523. First we will calculate the prime factors of 69509 and 69523.

Prime Factorization of 69509

Prime Factorization of 69523

Now multiplying the highest exponent prime factors to calculate the LCM of 69509 and 69523.

LCM(69509,69523) = 11¹ × 71¹ × 89¹ × 37¹ × 1879¹
LCM(69509,69523) = 4832474207