What is the Least Common Multiple of 38768 and 38778?

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 38768 and 38778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38768 and 38778, than apply into the LCM equation.

GCF(38768,38778) = 2
LCM(38768,38778) = ( 38768 × 38778) / 2
LCM(38768,38778) = 1503345504 / 2
LCM(38768,38778) = 751672752

Least Common Multiple (LCM) of 38768 and 38778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38768 and 38778. First we will calculate the prime factors of 38768 and 38778.

Prime Factorization of 38768

Prime Factorization of 38778

Now multiplying the highest exponent prime factors to calculate the LCM of 38768 and 38778.

LCM(38768,38778) = 2⁴ × 2423¹ × 3¹ × 23¹ × 281¹
LCM(38768,38778) = 751672752