What is the Least Common Multiple of 28768 and 28778?

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 28768 and 28778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28768 and 28778, than apply into the LCM equation.

GCF(28768,28778) = 2
LCM(28768,28778) = ( 28768 × 28778) / 2
LCM(28768,28778) = 827885504 / 2
LCM(28768,28778) = 413942752

Least Common Multiple (LCM) of 28768 and 28778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28768 and 28778. First we will calculate the prime factors of 28768 and 28778.

Prime Factorization of 28768

Prime Factorization of 28778

Now multiplying the highest exponent prime factors to calculate the LCM of 28768 and 28778.

LCM(28768,28778) = 2⁵ × 29¹ × 31¹ × 14389¹
LCM(28768,28778) = 413942752