What is the Least Common Multiple of 84564 and 84569?

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 84564 and 84569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84564 and 84569, than apply into the LCM equation.

GCF(84564,84569) = 1
LCM(84564,84569) = ( 84564 × 84569) / 1
LCM(84564,84569) = 7151492916 / 1
LCM(84564,84569) = 7151492916

Least Common Multiple (LCM) of 84564 and 84569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84564 and 84569. First we will calculate the prime factors of 84564 and 84569.

Prime Factorization of 84564

Prime Factorization of 84569

Now multiplying the highest exponent prime factors to calculate the LCM of 84564 and 84569.

LCM(84564,84569) = 2² × 3⁶ × 29¹ × 19¹ × 4451¹
LCM(84564,84569) = 7151492916