What is the Least Common Multiple of 28774 and 28792?

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 28774 and 28792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28774 and 28792, than apply into the LCM equation.

GCF(28774,28792) = 2
LCM(28774,28792) = ( 28774 × 28792) / 2
LCM(28774,28792) = 828461008 / 2
LCM(28774,28792) = 414230504

Least Common Multiple (LCM) of 28774 and 28792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28774 and 28792. First we will calculate the prime factors of 28774 and 28792.

Prime Factorization of 28774

Prime Factorization of 28792

Now multiplying the highest exponent prime factors to calculate the LCM of 28774 and 28792.

LCM(28774,28792) = 2³ × 14387¹ × 59¹ × 61¹
LCM(28774,28792) = 414230504