What is the Least Common Multiple of 23257 and 23277?

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 23257 and 23277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23257 and 23277, than apply into the LCM equation.

GCF(23257,23277) = 1
LCM(23257,23277) = ( 23257 × 23277) / 1
LCM(23257,23277) = 541353189 / 1
LCM(23257,23277) = 541353189

Least Common Multiple (LCM) of 23257 and 23277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23257 and 23277. First we will calculate the prime factors of 23257 and 23277.

Prime Factorization of 23257

Prime Factorization of 23277

Now multiplying the highest exponent prime factors to calculate the LCM of 23257 and 23277.

LCM(23257,23277) = 13¹ × 1789¹ × 3¹ × 7759¹
LCM(23257,23277) = 541353189