What is the Least Common Multiple of 51214 and 51232?

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 51214 and 51232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51214 and 51232, than apply into the LCM equation.

GCF(51214,51232) = 2
LCM(51214,51232) = ( 51214 × 51232) / 2
LCM(51214,51232) = 2623795648 / 2
LCM(51214,51232) = 1311897824

Least Common Multiple (LCM) of 51214 and 51232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51214 and 51232. First we will calculate the prime factors of 51214 and 51232.

Prime Factorization of 51214

Prime Factorization of 51232

Now multiplying the highest exponent prime factors to calculate the LCM of 51214 and 51232.

LCM(51214,51232) = 2⁵ × 29¹ × 883¹ × 1601¹
LCM(51214,51232) = 1311897824