What is the Least Common Multiple of 28540 and 28558?

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 28540 and 28558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28540 and 28558, than apply into the LCM equation.

GCF(28540,28558) = 2
LCM(28540,28558) = ( 28540 × 28558) / 2
LCM(28540,28558) = 815045320 / 2
LCM(28540,28558) = 407522660

Least Common Multiple (LCM) of 28540 and 28558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28540 and 28558. First we will calculate the prime factors of 28540 and 28558.

Prime Factorization of 28540

Prime Factorization of 28558

Now multiplying the highest exponent prime factors to calculate the LCM of 28540 and 28558.

LCM(28540,28558) = 2² × 5¹ × 1427¹ × 109¹ × 131¹
LCM(28540,28558) = 407522660