What is the Least Common Multiple of 48564 and 48569?

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 48564 and 48569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48564 and 48569, than apply into the LCM equation.

GCF(48564,48569) = 1
LCM(48564,48569) = ( 48564 × 48569) / 1
LCM(48564,48569) = 2358704916 / 1
LCM(48564,48569) = 2358704916

Least Common Multiple (LCM) of 48564 and 48569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48564 and 48569. First we will calculate the prime factors of 48564 and 48569.

Prime Factorization of 48564

Prime Factorization of 48569

Now multiplying the highest exponent prime factors to calculate the LCM of 48564 and 48569.

LCM(48564,48569) = 2² × 3² × 19¹ × 71¹ × 17¹ × 2857¹
LCM(48564,48569) = 2358704916