What is the Least Common Multiple of 28782 and 28801?

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 28782 and 28801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28782 and 28801, than apply into the LCM equation.

GCF(28782,28801) = 1
LCM(28782,28801) = ( 28782 × 28801) / 1
LCM(28782,28801) = 828950382 / 1
LCM(28782,28801) = 828950382

Least Common Multiple (LCM) of 28782 and 28801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28782 and 28801. First we will calculate the prime factors of 28782 and 28801.

Prime Factorization of 28782

Prime Factorization of 28801

Now multiplying the highest exponent prime factors to calculate the LCM of 28782 and 28801.

LCM(28782,28801) = 2¹ × 3³ × 13¹ × 41¹ × 83¹ × 347¹
LCM(28782,28801) = 828950382