What is the Least Common Multiple of 23153 and 23173?

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 23153 and 23173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23153 and 23173, than apply into the LCM equation.

GCF(23153,23173) = 1
LCM(23153,23173) = ( 23153 × 23173) / 1
LCM(23153,23173) = 536524469 / 1
LCM(23153,23173) = 536524469

Least Common Multiple (LCM) of 23153 and 23173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23153 and 23173. First we will calculate the prime factors of 23153 and 23173.

Prime Factorization of 23153

Prime Factorization of 23173

Now multiplying the highest exponent prime factors to calculate the LCM of 23153 and 23173.

LCM(23153,23173) = 13² × 137¹ × 23173¹
LCM(23153,23173) = 536524469