What is the Least Common Multiple of 39546 and 39563?

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 39546 and 39563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39546 and 39563, than apply into the LCM equation.

GCF(39546,39563) = 1
LCM(39546,39563) = ( 39546 × 39563) / 1
LCM(39546,39563) = 1564558398 / 1
LCM(39546,39563) = 1564558398

Least Common Multiple (LCM) of 39546 and 39563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39546 and 39563. First we will calculate the prime factors of 39546 and 39563.

Prime Factorization of 39546

Prime Factorization of 39563

Now multiplying the highest exponent prime factors to calculate the LCM of 39546 and 39563.

LCM(39546,39563) = 2¹ × 3² × 13³ × 39563¹
LCM(39546,39563) = 1564558398