What is the Least Common Multiple of 28980 and 28995?

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 28980 and 28995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28980 and 28995, than apply into the LCM equation.

GCF(28980,28995) = 15
LCM(28980,28995) = ( 28980 × 28995) / 15
LCM(28980,28995) = 840275100 / 15
LCM(28980,28995) = 56018340

Least Common Multiple (LCM) of 28980 and 28995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28980 and 28995. First we will calculate the prime factors of 28980 and 28995.

Prime Factorization of 28980

Prime Factorization of 28995

Now multiplying the highest exponent prime factors to calculate the LCM of 28980 and 28995.

LCM(28980,28995) = 2² × 3² × 5¹ × 7¹ × 23¹ × 1933¹
LCM(28980,28995) = 56018340