What is the Least Common Multiple of 57214 and 57232?

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 57214 and 57232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57214 and 57232, than apply into the LCM equation.

GCF(57214,57232) = 2
LCM(57214,57232) = ( 57214 × 57232) / 2
LCM(57214,57232) = 3274471648 / 2
LCM(57214,57232) = 1637235824

Least Common Multiple (LCM) of 57214 and 57232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57214 and 57232. First we will calculate the prime factors of 57214 and 57232.

Prime Factorization of 57214

Prime Factorization of 57232

Now multiplying the highest exponent prime factors to calculate the LCM of 57214 and 57232.

LCM(57214,57232) = 2⁴ × 28607¹ × 7² × 73¹
LCM(57214,57232) = 1637235824