What is the Least Common Multiple of 28734 and 28749?

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 28734 and 28749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28734 and 28749, than apply into the LCM equation.

GCF(28734,28749) = 3
LCM(28734,28749) = ( 28734 × 28749) / 3
LCM(28734,28749) = 826073766 / 3
LCM(28734,28749) = 275357922

Least Common Multiple (LCM) of 28734 and 28749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28734 and 28749. First we will calculate the prime factors of 28734 and 28749.

Prime Factorization of 28734

Prime Factorization of 28749

Now multiplying the highest exponent prime factors to calculate the LCM of 28734 and 28749.

LCM(28734,28749) = 2¹ × 3¹ × 4789¹ × 7¹ × 37²
LCM(28734,28749) = 275357922