What is the Least Common Multiple of 28805 and 28821?

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 28805 and 28821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28805 and 28821, than apply into the LCM equation.

GCF(28805,28821) = 1
LCM(28805,28821) = ( 28805 × 28821) / 1
LCM(28805,28821) = 830188905 / 1
LCM(28805,28821) = 830188905

Least Common Multiple (LCM) of 28805 and 28821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28805 and 28821. First we will calculate the prime factors of 28805 and 28821.

Prime Factorization of 28805

Prime Factorization of 28821

Now multiplying the highest exponent prime factors to calculate the LCM of 28805 and 28821.

LCM(28805,28821) = 5¹ × 7¹ × 823¹ × 3¹ × 13¹ × 739¹
LCM(28805,28821) = 830188905