What is the Least Common Multiple of 85542 and 85559?

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 85542 and 85559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85542 and 85559, than apply into the LCM equation.

GCF(85542,85559) = 1
LCM(85542,85559) = ( 85542 × 85559) / 1
LCM(85542,85559) = 7318887978 / 1
LCM(85542,85559) = 7318887978

Least Common Multiple (LCM) of 85542 and 85559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85542 and 85559. First we will calculate the prime factors of 85542 and 85559.

Prime Factorization of 85542

Prime Factorization of 85559

Now multiplying the highest exponent prime factors to calculate the LCM of 85542 and 85559.

LCM(85542,85559) = 2¹ × 3¹ × 53¹ × 269¹ × 67¹ × 1277¹
LCM(85542,85559) = 7318887978