What is the Least Common Multiple of 28628 and 28638?

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 28628 and 28638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28628 and 28638, than apply into the LCM equation.

GCF(28628,28638) = 2
LCM(28628,28638) = ( 28628 × 28638) / 2
LCM(28628,28638) = 819848664 / 2
LCM(28628,28638) = 409924332

Least Common Multiple (LCM) of 28628 and 28638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28628 and 28638. First we will calculate the prime factors of 28628 and 28638.

Prime Factorization of 28628

Prime Factorization of 28638

Now multiplying the highest exponent prime factors to calculate the LCM of 28628 and 28638.

LCM(28628,28638) = 2² × 17¹ × 421¹ × 3² × 37¹ × 43¹
LCM(28628,28638) = 409924332