What is the Least Common Multiple of 21257 and 21275?

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 21257 and 21275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21257 and 21275, than apply into the LCM equation.

GCF(21257,21275) = 1
LCM(21257,21275) = ( 21257 × 21275) / 1
LCM(21257,21275) = 452242675 / 1
LCM(21257,21275) = 452242675

Least Common Multiple (LCM) of 21257 and 21275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21257 and 21275. First we will calculate the prime factors of 21257 and 21275.

Prime Factorization of 21257

Prime Factorization of 21275

Now multiplying the highest exponent prime factors to calculate the LCM of 21257 and 21275.

LCM(21257,21275) = 29¹ × 733¹ × 5² × 23¹ × 37¹
LCM(21257,21275) = 452242675