What is the Least Common Multiple of 28065 and 28077?

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 28065 and 28077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28065 and 28077, than apply into the LCM equation.

GCF(28065,28077) = 3
LCM(28065,28077) = ( 28065 × 28077) / 3
LCM(28065,28077) = 787981005 / 3
LCM(28065,28077) = 262660335

Least Common Multiple (LCM) of 28065 and 28077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28065 and 28077. First we will calculate the prime factors of 28065 and 28077.

Prime Factorization of 28065

Prime Factorization of 28077

Now multiplying the highest exponent prime factors to calculate the LCM of 28065 and 28077.

LCM(28065,28077) = 3¹ × 5¹ × 1871¹ × 7² × 191¹
LCM(28065,28077) = 262660335