What is the Least Common Multiple of 15768 and 15779?

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 15768 and 15779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15768 and 15779, than apply into the LCM equation.

GCF(15768,15779) = 1
LCM(15768,15779) = ( 15768 × 15779) / 1
LCM(15768,15779) = 248803272 / 1
LCM(15768,15779) = 248803272

Least Common Multiple (LCM) of 15768 and 15779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15768 and 15779. First we will calculate the prime factors of 15768 and 15779.

Prime Factorization of 15768

Prime Factorization of 15779

Now multiplying the highest exponent prime factors to calculate the LCM of 15768 and 15779.

LCM(15768,15779) = 2³ × 3³ × 73¹ × 31¹ × 509¹
LCM(15768,15779) = 248803272