What is the Least Common Multiple of 18744 and 18758?

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 18744 and 18758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18744 and 18758, than apply into the LCM equation.

GCF(18744,18758) = 2
LCM(18744,18758) = ( 18744 × 18758) / 2
LCM(18744,18758) = 351599952 / 2
LCM(18744,18758) = 175799976

Least Common Multiple (LCM) of 18744 and 18758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18744 and 18758. First we will calculate the prime factors of 18744 and 18758.

Prime Factorization of 18744

Prime Factorization of 18758

Now multiplying the highest exponent prime factors to calculate the LCM of 18744 and 18758.

LCM(18744,18758) = 2³ × 3¹ × 11¹ × 71¹ × 83¹ × 113¹
LCM(18744,18758) = 175799976