What is the Least Common Multiple of 69567 and 69581?

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 69567 and 69581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69567 and 69581, than apply into the LCM equation.

GCF(69567,69581) = 1
LCM(69567,69581) = ( 69567 × 69581) / 1
LCM(69567,69581) = 4840541427 / 1
LCM(69567,69581) = 4840541427

Least Common Multiple (LCM) of 69567 and 69581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69567 and 69581. First we will calculate the prime factors of 69567 and 69581.

Prime Factorization of 69567

Prime Factorization of 69581

Now multiplying the highest exponent prime factors to calculate the LCM of 69567 and 69581.

LCM(69567,69581) = 3¹ × 23189¹ × 17¹ × 4093¹
LCM(69567,69581) = 4840541427