What is the Least Common Multiple of 19536 and 19544?

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 19536 and 19544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19536 and 19544, than apply into the LCM equation.

GCF(19536,19544) = 8
LCM(19536,19544) = ( 19536 × 19544) / 8
LCM(19536,19544) = 381811584 / 8
LCM(19536,19544) = 47726448

Least Common Multiple (LCM) of 19536 and 19544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19536 and 19544. First we will calculate the prime factors of 19536 and 19544.

Prime Factorization of 19536

Prime Factorization of 19544

Now multiplying the highest exponent prime factors to calculate the LCM of 19536 and 19544.

LCM(19536,19544) = 2⁴ × 3¹ × 11¹ × 37¹ × 7¹ × 349¹
LCM(19536,19544) = 47726448