What is the Least Common Multiple of 58542 and 58559?

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 58542 and 58559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58542 and 58559, than apply into the LCM equation.

GCF(58542,58559) = 1
LCM(58542,58559) = ( 58542 × 58559) / 1
LCM(58542,58559) = 3428160978 / 1
LCM(58542,58559) = 3428160978

Least Common Multiple (LCM) of 58542 and 58559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58542 and 58559. First we will calculate the prime factors of 58542 and 58559.

Prime Factorization of 58542

Prime Factorization of 58559

Now multiplying the highest exponent prime factors to calculate the LCM of 58542 and 58559.

LCM(58542,58559) = 2¹ × 3¹ × 11¹ × 887¹ × 31¹ × 1889¹
LCM(58542,58559) = 3428160978