What is the Least Common Multiple of 28458 and 28470?

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 28458 and 28470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28458 and 28470, than apply into the LCM equation.

GCF(28458,28470) = 6
LCM(28458,28470) = ( 28458 × 28470) / 6
LCM(28458,28470) = 810199260 / 6
LCM(28458,28470) = 135033210

Least Common Multiple (LCM) of 28458 and 28470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28458 and 28470. First we will calculate the prime factors of 28458 and 28470.

Prime Factorization of 28458

Prime Factorization of 28470

Now multiplying the highest exponent prime factors to calculate the LCM of 28458 and 28470.

LCM(28458,28470) = 2¹ × 3³ × 17¹ × 31¹ × 5¹ × 13¹ × 73¹
LCM(28458,28470) = 135033210