What is the Least Common Multiple of 28965 and 28971?

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 28965 and 28971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28965 and 28971, than apply into the LCM equation.

GCF(28965,28971) = 3
LCM(28965,28971) = ( 28965 × 28971) / 3
LCM(28965,28971) = 839145015 / 3
LCM(28965,28971) = 279715005

Least Common Multiple (LCM) of 28965 and 28971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28965 and 28971. First we will calculate the prime factors of 28965 and 28971.

Prime Factorization of 28965

Prime Factorization of 28971

Now multiplying the highest exponent prime factors to calculate the LCM of 28965 and 28971.

LCM(28965,28971) = 3³ × 5¹ × 1931¹ × 29¹ × 37¹
LCM(28965,28971) = 279715005