What is the Least Common Multiple of 82542 and 82559?

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 82542 and 82559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82542 and 82559, than apply into the LCM equation.

GCF(82542,82559) = 1
LCM(82542,82559) = ( 82542 × 82559) / 1
LCM(82542,82559) = 6814584978 / 1
LCM(82542,82559) = 6814584978

Least Common Multiple (LCM) of 82542 and 82559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82542 and 82559. First we will calculate the prime factors of 82542 and 82559.

Prime Factorization of 82542

Prime Factorization of 82559

Now multiplying the highest exponent prime factors to calculate the LCM of 82542 and 82559.

LCM(82542,82559) = 2¹ × 3¹ × 13757¹ × 82559¹
LCM(82542,82559) = 6814584978