What is the Least Common Multiple of 48257 and 48277?

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 48257 and 48277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48257 and 48277, than apply into the LCM equation.

GCF(48257,48277) = 1
LCM(48257,48277) = ( 48257 × 48277) / 1
LCM(48257,48277) = 2329703189 / 1
LCM(48257,48277) = 2329703189

Least Common Multiple (LCM) of 48257 and 48277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48257 and 48277. First we will calculate the prime factors of 48257 and 48277.

Prime Factorization of 48257

Prime Factorization of 48277

Now multiplying the highest exponent prime factors to calculate the LCM of 48257 and 48277.

LCM(48257,48277) = 11¹ × 41¹ × 107¹ × 23¹ × 2099¹
LCM(48257,48277) = 2329703189