What is the Least Common Multiple of 57232 and 57238?

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 57232 and 57238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57232 and 57238, than apply into the LCM equation.

GCF(57232,57238) = 2
LCM(57232,57238) = ( 57232 × 57238) / 2
LCM(57232,57238) = 3275845216 / 2
LCM(57232,57238) = 1637922608

Least Common Multiple (LCM) of 57232 and 57238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57232 and 57238. First we will calculate the prime factors of 57232 and 57238.

Prime Factorization of 57232

Prime Factorization of 57238

Now multiplying the highest exponent prime factors to calculate the LCM of 57232 and 57238.

LCM(57232,57238) = 2⁴ × 7² × 73¹ × 28619¹
LCM(57232,57238) = 1637922608