What is the Least Common Multiple of 84552 and 84559?

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 84552 and 84559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84552 and 84559, than apply into the LCM equation.

GCF(84552,84559) = 1
LCM(84552,84559) = ( 84552 × 84559) / 1
LCM(84552,84559) = 7149632568 / 1
LCM(84552,84559) = 7149632568

Least Common Multiple (LCM) of 84552 and 84559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84552 and 84559. First we will calculate the prime factors of 84552 and 84559.

Prime Factorization of 84552

Prime Factorization of 84559

Now multiplying the highest exponent prime factors to calculate the LCM of 84552 and 84559.

LCM(84552,84559) = 2³ × 3¹ × 13¹ × 271¹ × 84559¹
LCM(84552,84559) = 7149632568