What is the Least Common Multiple of 28730 and 28745?

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 28730 and 28745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28730 and 28745, than apply into the LCM equation.

GCF(28730,28745) = 5
LCM(28730,28745) = ( 28730 × 28745) / 5
LCM(28730,28745) = 825843850 / 5
LCM(28730,28745) = 165168770

Least Common Multiple (LCM) of 28730 and 28745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28730 and 28745. First we will calculate the prime factors of 28730 and 28745.

Prime Factorization of 28730

Prime Factorization of 28745

Now multiplying the highest exponent prime factors to calculate the LCM of 28730 and 28745.

LCM(28730,28745) = 2¹ × 5¹ × 13² × 17¹ × 5749¹
LCM(28730,28745) = 165168770