What is the Least Common Multiple of 15774 and 15784?

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 15784 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 15784, than apply into the LCM equation.

GCF(15774,15784) = 2
LCM(15774,15784) = ( 15774 × 15784) / 2
LCM(15774,15784) = 248976816 / 2
LCM(15774,15784) = 124488408

Least Common Multiple (LCM) of 15774 and 15784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15774 and 15784. First we will calculate the prime factors of 15774 and 15784.

Prime Factorization of 15774

Prime Factorization of 15784

Now multiplying the highest exponent prime factors to calculate the LCM of 15774 and 15784.

LCM(15774,15784) = 2³ × 3¹ × 11¹ × 239¹ × 1973¹
LCM(15774,15784) = 124488408