What is the Least Common Multiple of 38758 and 38774?

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 38758 and 38774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38758 and 38774, than apply into the LCM equation.

GCF(38758,38774) = 2
LCM(38758,38774) = ( 38758 × 38774) / 2
LCM(38758,38774) = 1502802692 / 2
LCM(38758,38774) = 751401346

Least Common Multiple (LCM) of 38758 and 38774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38758 and 38774. First we will calculate the prime factors of 38758 and 38774.

Prime Factorization of 38758

Prime Factorization of 38774

Now multiplying the highest exponent prime factors to calculate the LCM of 38758 and 38774.

LCM(38758,38774) = 2¹ × 19379¹ × 19387¹
LCM(38758,38774) = 751401346