What is the Least Common Multiple of 18758 and 18773?

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 18758 and 18773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18758 and 18773, than apply into the LCM equation.

GCF(18758,18773) = 1
LCM(18758,18773) = ( 18758 × 18773) / 1
LCM(18758,18773) = 352143934 / 1
LCM(18758,18773) = 352143934

Least Common Multiple (LCM) of 18758 and 18773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18758 and 18773. First we will calculate the prime factors of 18758 and 18773.

Prime Factorization of 18758

Prime Factorization of 18773

Now multiplying the highest exponent prime factors to calculate the LCM of 18758 and 18773.

LCM(18758,18773) = 2¹ × 83¹ × 113¹ × 18773¹
LCM(18758,18773) = 352143934