What is the Least Common Multiple of 14768 and 14778?

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 14768 and 14778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14768 and 14778, than apply into the LCM equation.

GCF(14768,14778) = 2
LCM(14768,14778) = ( 14768 × 14778) / 2
LCM(14768,14778) = 218241504 / 2
LCM(14768,14778) = 109120752

Least Common Multiple (LCM) of 14768 and 14778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14768 and 14778. First we will calculate the prime factors of 14768 and 14778.

Prime Factorization of 14768

Prime Factorization of 14778

Now multiplying the highest exponent prime factors to calculate the LCM of 14768 and 14778.

LCM(14768,14778) = 2⁴ × 13¹ × 71¹ × 3² × 821¹
LCM(14768,14778) = 109120752