What is the Least Common Multiple of 59574 and 59578?

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 59574 and 59578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59574 and 59578, than apply into the LCM equation.

GCF(59574,59578) = 2
LCM(59574,59578) = ( 59574 × 59578) / 2
LCM(59574,59578) = 3549299772 / 2
LCM(59574,59578) = 1774649886

Least Common Multiple (LCM) of 59574 and 59578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59574 and 59578. First we will calculate the prime factors of 59574 and 59578.

Prime Factorization of 59574

Prime Factorization of 59578

Now multiplying the highest exponent prime factors to calculate the LCM of 59574 and 59578.

LCM(59574,59578) = 2¹ × 3¹ × 9929¹ × 29789¹
LCM(59574,59578) = 1774649886