What is the Least Common Multiple of 38874 and 38880?

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 38874 and 38880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38874 and 38880, than apply into the LCM equation.

GCF(38874,38880) = 6
LCM(38874,38880) = ( 38874 × 38880) / 6
LCM(38874,38880) = 1511421120 / 6
LCM(38874,38880) = 251903520

Least Common Multiple (LCM) of 38874 and 38880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38874 and 38880. First we will calculate the prime factors of 38874 and 38880.

Prime Factorization of 38874

Prime Factorization of 38880

Now multiplying the highest exponent prime factors to calculate the LCM of 38874 and 38880.

LCM(38874,38880) = 2⁵ × 3⁵ × 11¹ × 19¹ × 31¹ × 5¹
LCM(38874,38880) = 251903520