What is the Least Common Multiple of 28785 and 28789?

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 28785 and 28789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28785 and 28789, than apply into the LCM equation.

GCF(28785,28789) = 1
LCM(28785,28789) = ( 28785 × 28789) / 1
LCM(28785,28789) = 828691365 / 1
LCM(28785,28789) = 828691365

Least Common Multiple (LCM) of 28785 and 28789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28785 and 28789. First we will calculate the prime factors of 28785 and 28789.

Prime Factorization of 28785

Prime Factorization of 28789

Now multiplying the highest exponent prime factors to calculate the LCM of 28785 and 28789.

LCM(28785,28789) = 3¹ × 5¹ × 19¹ × 101¹ × 28789¹
LCM(28785,28789) = 828691365