What is the Least Common Multiple of 23758 and 23773?

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 23758 and 23773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23758 and 23773, than apply into the LCM equation.

GCF(23758,23773) = 1
LCM(23758,23773) = ( 23758 × 23773) / 1
LCM(23758,23773) = 564798934 / 1
LCM(23758,23773) = 564798934

Least Common Multiple (LCM) of 23758 and 23773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23758 and 23773. First we will calculate the prime factors of 23758 and 23773.

Prime Factorization of 23758

Prime Factorization of 23773

Now multiplying the highest exponent prime factors to calculate the LCM of 23758 and 23773.

LCM(23758,23773) = 2¹ × 7¹ × 1697¹ × 23773¹
LCM(23758,23773) = 564798934