What is the Least Common Multiple of 28880 and 28894?

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 28880 and 28894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28880 and 28894, than apply into the LCM equation.

GCF(28880,28894) = 2
LCM(28880,28894) = ( 28880 × 28894) / 2
LCM(28880,28894) = 834458720 / 2
LCM(28880,28894) = 417229360

Least Common Multiple (LCM) of 28880 and 28894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28880 and 28894. First we will calculate the prime factors of 28880 and 28894.

Prime Factorization of 28880

Prime Factorization of 28894

Now multiplying the highest exponent prime factors to calculate the LCM of 28880 and 28894.

LCM(28880,28894) = 2⁴ × 5¹ × 19² × 14447¹
LCM(28880,28894) = 417229360