What is the Least Common Multiple of 15774 and 15782?

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 15782 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 15782, than apply into the LCM equation.

GCF(15774,15782) = 2
LCM(15774,15782) = ( 15774 × 15782) / 2
LCM(15774,15782) = 248945268 / 2
LCM(15774,15782) = 124472634

Least Common Multiple (LCM) of 15774 and 15782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15774 and 15782. First we will calculate the prime factors of 15774 and 15782.

Prime Factorization of 15774

Prime Factorization of 15782

Now multiplying the highest exponent prime factors to calculate the LCM of 15774 and 15782.

LCM(15774,15782) = 2¹ × 3¹ × 11¹ × 239¹ × 13¹ × 607¹
LCM(15774,15782) = 124472634