What is the Least Common Multiple of 19744 and 19763?

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 19744 and 19763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19744 and 19763, than apply into the LCM equation.

GCF(19744,19763) = 1
LCM(19744,19763) = ( 19744 × 19763) / 1
LCM(19744,19763) = 390200672 / 1
LCM(19744,19763) = 390200672

Least Common Multiple (LCM) of 19744 and 19763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19744 and 19763. First we will calculate the prime factors of 19744 and 19763.

Prime Factorization of 19744

Prime Factorization of 19763

Now multiplying the highest exponent prime factors to calculate the LCM of 19744 and 19763.

LCM(19744,19763) = 2⁵ × 617¹ × 19763¹
LCM(19744,19763) = 390200672