What is the Least Common Multiple of 38768 and 38777?

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 38777 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 38777, than apply into the LCM equation.

GCF(38768,38777) = 1
LCM(38768,38777) = ( 38768 × 38777) / 1
LCM(38768,38777) = 1503306736 / 1
LCM(38768,38777) = 1503306736

Least Common Multiple (LCM) of 38768 and 38777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38768 and 38777. First we will calculate the prime factors of 38768 and 38777.

Prime Factorization of 38768

Prime Factorization of 38777

Now multiplying the highest exponent prime factors to calculate the LCM of 38768 and 38777.

LCM(38768,38777) = 2⁴ × 2423¹ × 17¹ × 2281¹
LCM(38768,38777) = 1503306736