What is the Least Common Multiple of 28725 and 28730?

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 28725 and 28730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28725 and 28730, than apply into the LCM equation.

GCF(28725,28730) = 5
LCM(28725,28730) = ( 28725 × 28730) / 5
LCM(28725,28730) = 825269250 / 5
LCM(28725,28730) = 165053850

Least Common Multiple (LCM) of 28725 and 28730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28725 and 28730. First we will calculate the prime factors of 28725 and 28730.

Prime Factorization of 28725

Prime Factorization of 28730

Now multiplying the highest exponent prime factors to calculate the LCM of 28725 and 28730.

LCM(28725,28730) = 3¹ × 5² × 383¹ × 2¹ × 13² × 17¹
LCM(28725,28730) = 165053850