What is the Least Common Multiple of 69564 and 69569?

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 69564 and 69569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69564 and 69569, than apply into the LCM equation.

GCF(69564,69569) = 1
LCM(69564,69569) = ( 69564 × 69569) / 1
LCM(69564,69569) = 4839497916 / 1
LCM(69564,69569) = 4839497916

Least Common Multiple (LCM) of 69564 and 69569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69564 and 69569. First we will calculate the prime factors of 69564 and 69569.

Prime Factorization of 69564

Prime Factorization of 69569

Now multiplying the highest exponent prime factors to calculate the LCM of 69564 and 69569.

LCM(69564,69569) = 2² × 3¹ × 11¹ × 17¹ × 31¹ × 73¹ × 953¹
LCM(69564,69569) = 4839497916