What is the Least Common Multiple of 30880 and 30894?

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 30880 and 30894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30880 and 30894, than apply into the LCM equation.

GCF(30880,30894) = 2
LCM(30880,30894) = ( 30880 × 30894) / 2
LCM(30880,30894) = 954006720 / 2
LCM(30880,30894) = 477003360

Least Common Multiple (LCM) of 30880 and 30894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30880 and 30894. First we will calculate the prime factors of 30880 and 30894.

Prime Factorization of 30880

Prime Factorization of 30894

Now multiplying the highest exponent prime factors to calculate the LCM of 30880 and 30894.

LCM(30880,30894) = 2⁵ × 5¹ × 193¹ × 3¹ × 19¹ × 271¹
LCM(30880,30894) = 477003360