What is the Least Common Multiple of 69509 and 69516?

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 69516 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 69516, than apply into the LCM equation.

GCF(69509,69516) = 1
LCM(69509,69516) = ( 69509 × 69516) / 1
LCM(69509,69516) = 4831987644 / 1
LCM(69509,69516) = 4831987644

Least Common Multiple (LCM) of 69509 and 69516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69509 and 69516. First we will calculate the prime factors of 69509 and 69516.

Prime Factorization of 69509

Prime Factorization of 69516

Now multiplying the highest exponent prime factors to calculate the LCM of 69509 and 69516.

LCM(69509,69516) = 11¹ × 71¹ × 89¹ × 2² × 3² × 1931¹
LCM(69509,69516) = 4831987644