What is the Least Common Multiple of 28710 and 28727?

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 28710 and 28727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28710 and 28727, than apply into the LCM equation.

GCF(28710,28727) = 1
LCM(28710,28727) = ( 28710 × 28727) / 1
LCM(28710,28727) = 824752170 / 1
LCM(28710,28727) = 824752170

Least Common Multiple (LCM) of 28710 and 28727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28710 and 28727. First we will calculate the prime factors of 28710 and 28727.

Prime Factorization of 28710

Prime Factorization of 28727

Now multiplying the highest exponent prime factors to calculate the LCM of 28710 and 28727.

LCM(28710,28727) = 2¹ × 3² × 5¹ × 11¹ × 29¹ × 23¹ × 1249¹
LCM(28710,28727) = 824752170