What is the Least Common Multiple of 38880 and 38896?

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 38896 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 38896, than apply into the LCM equation.

GCF(38880,38896) = 16
LCM(38880,38896) = ( 38880 × 38896) / 16
LCM(38880,38896) = 1512276480 / 16
LCM(38880,38896) = 94517280

Least Common Multiple (LCM) of 38880 and 38896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38880 and 38896. First we will calculate the prime factors of 38880 and 38896.

Prime Factorization of 38880

Prime Factorization of 38896

Now multiplying the highest exponent prime factors to calculate the LCM of 38880 and 38896.

LCM(38880,38896) = 2⁵ × 3⁵ × 5¹ × 11¹ × 13¹ × 17¹
LCM(38880,38896) = 94517280