What is the Least Common Multiple of 15774 and 15790?

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 15774 and 15790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15774 and 15790, than apply into the LCM equation.

GCF(15774,15790) = 2
LCM(15774,15790) = ( 15774 × 15790) / 2
LCM(15774,15790) = 249071460 / 2
LCM(15774,15790) = 124535730

Least Common Multiple (LCM) of 15774 and 15790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15774 and 15790. First we will calculate the prime factors of 15774 and 15790.

Prime Factorization of 15774

Prime Factorization of 15790

Now multiplying the highest exponent prime factors to calculate the LCM of 15774 and 15790.

LCM(15774,15790) = 2¹ × 3¹ × 11¹ × 239¹ × 5¹ × 1579¹
LCM(15774,15790) = 124535730