What is the Least Common Multiple of 65213 and 65231?

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 65213 and 65231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65213 and 65231, than apply into the LCM equation.

GCF(65213,65231) = 1
LCM(65213,65231) = ( 65213 × 65231) / 1
LCM(65213,65231) = 4253909203 / 1
LCM(65213,65231) = 4253909203

Least Common Multiple (LCM) of 65213 and 65231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65213 and 65231. First we will calculate the prime factors of 65213 and 65231.

Prime Factorization of 65213

Prime Factorization of 65231

Now multiplying the highest exponent prime factors to calculate the LCM of 65213 and 65231.

LCM(65213,65231) = 65213¹ × 37¹ × 41¹ × 43¹
LCM(65213,65231) = 4253909203