What is the Least Common Multiple of 28606 and 28610?

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 28606 and 28610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28606 and 28610, than apply into the LCM equation.

GCF(28606,28610) = 2
LCM(28606,28610) = ( 28606 × 28610) / 2
LCM(28606,28610) = 818417660 / 2
LCM(28606,28610) = 409208830

Least Common Multiple (LCM) of 28606 and 28610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28606 and 28610. First we will calculate the prime factors of 28606 and 28610.

Prime Factorization of 28606

Prime Factorization of 28610

Now multiplying the highest exponent prime factors to calculate the LCM of 28606 and 28610.

LCM(28606,28610) = 2¹ × 14303¹ × 5¹ × 2861¹
LCM(28606,28610) = 409208830