What is the Least Common Multiple of 28435 and 28451?

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 28435 and 28451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28435 and 28451, than apply into the LCM equation.

GCF(28435,28451) = 1
LCM(28435,28451) = ( 28435 × 28451) / 1
LCM(28435,28451) = 809004185 / 1
LCM(28435,28451) = 809004185

Least Common Multiple (LCM) of 28435 and 28451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28435 and 28451. First we will calculate the prime factors of 28435 and 28451.

Prime Factorization of 28435

Prime Factorization of 28451

Now multiplying the highest exponent prime factors to calculate the LCM of 28435 and 28451.

LCM(28435,28451) = 5¹ × 11² × 47¹ × 23¹ × 1237¹
LCM(28435,28451) = 809004185