What is the Least Common Multiple of 28985 and 28992?

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 28985 and 28992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28985 and 28992, than apply into the LCM equation.

GCF(28985,28992) = 1
LCM(28985,28992) = ( 28985 × 28992) / 1
LCM(28985,28992) = 840333120 / 1
LCM(28985,28992) = 840333120

Least Common Multiple (LCM) of 28985 and 28992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28985 and 28992. First we will calculate the prime factors of 28985 and 28992.

Prime Factorization of 28985

Prime Factorization of 28992

Now multiplying the highest exponent prime factors to calculate the LCM of 28985 and 28992.

LCM(28985,28992) = 5¹ × 11¹ × 17¹ × 31¹ × 2⁶ × 3¹ × 151¹
LCM(28985,28992) = 840333120