What is the Least Common Multiple of 38758 and 38768?

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 38768 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 38768, than apply into the LCM equation.

GCF(38758,38768) = 2
LCM(38758,38768) = ( 38758 × 38768) / 2
LCM(38758,38768) = 1502570144 / 2
LCM(38758,38768) = 751285072

Least Common Multiple (LCM) of 38758 and 38768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38758 and 38768. First we will calculate the prime factors of 38758 and 38768.

Prime Factorization of 38758

Prime Factorization of 38768

Now multiplying the highest exponent prime factors to calculate the LCM of 38758 and 38768.

LCM(38758,38768) = 2⁴ × 19379¹ × 2423¹
LCM(38758,38768) = 751285072