What is the Least Common Multiple of 28232 and 28250?

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 28232 and 28250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28232 and 28250, than apply into the LCM equation.

GCF(28232,28250) = 2
LCM(28232,28250) = ( 28232 × 28250) / 2
LCM(28232,28250) = 797554000 / 2
LCM(28232,28250) = 398777000

Least Common Multiple (LCM) of 28232 and 28250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28232 and 28250. First we will calculate the prime factors of 28232 and 28250.

Prime Factorization of 28232

Prime Factorization of 28250

Now multiplying the highest exponent prime factors to calculate the LCM of 28232 and 28250.

LCM(28232,28250) = 2³ × 3529¹ × 5³ × 113¹
LCM(28232,28250) = 398777000