What is the Least Common Multiple of 38880 and 38895?

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 38880 and 38895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38880 and 38895, than apply into the LCM equation.

GCF(38880,38895) = 15
LCM(38880,38895) = ( 38880 × 38895) / 15
LCM(38880,38895) = 1512237600 / 15
LCM(38880,38895) = 100815840

Least Common Multiple (LCM) of 38880 and 38895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38880 and 38895. First we will calculate the prime factors of 38880 and 38895.

Prime Factorization of 38880

Prime Factorization of 38895

Now multiplying the highest exponent prime factors to calculate the LCM of 38880 and 38895.

LCM(38880,38895) = 2⁵ × 3⁵ × 5¹ × 2593¹
LCM(38880,38895) = 100815840