What is the Least Common Multiple of 77257 and 77275?

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 77257 and 77275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77257 and 77275, than apply into the LCM equation.

GCF(77257,77275) = 1
LCM(77257,77275) = ( 77257 × 77275) / 1
LCM(77257,77275) = 5970034675 / 1
LCM(77257,77275) = 5970034675

Least Common Multiple (LCM) of 77257 and 77275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77257 and 77275. First we will calculate the prime factors of 77257 and 77275.

Prime Factorization of 77257

Prime Factorization of 77275

Now multiplying the highest exponent prime factors to calculate the LCM of 77257 and 77275.

LCM(77257,77275) = 23¹ × 3359¹ × 5² × 11¹ × 281¹
LCM(77257,77275) = 5970034675