What is the Least Common Multiple of 15776 and 15793?

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 15776 and 15793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15776 and 15793, than apply into the LCM equation.

GCF(15776,15793) = 17
LCM(15776,15793) = ( 15776 × 15793) / 17
LCM(15776,15793) = 249150368 / 17
LCM(15776,15793) = 14655904

Least Common Multiple (LCM) of 15776 and 15793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15776 and 15793. First we will calculate the prime factors of 15776 and 15793.

Prime Factorization of 15776

Prime Factorization of 15793

Now multiplying the highest exponent prime factors to calculate the LCM of 15776 and 15793.

LCM(15776,15793) = 2⁵ × 17¹ × 29¹ × 929¹
LCM(15776,15793) = 14655904