What is the Least Common Multiple of 38560 and 38578?

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 38560 and 38578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38560 and 38578, than apply into the LCM equation.

GCF(38560,38578) = 2
LCM(38560,38578) = ( 38560 × 38578) / 2
LCM(38560,38578) = 1487567680 / 2
LCM(38560,38578) = 743783840

Least Common Multiple (LCM) of 38560 and 38578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38560 and 38578. First we will calculate the prime factors of 38560 and 38578.

Prime Factorization of 38560

Prime Factorization of 38578

Now multiplying the highest exponent prime factors to calculate the LCM of 38560 and 38578.

LCM(38560,38578) = 2⁵ × 5¹ × 241¹ × 19289¹
LCM(38560,38578) = 743783840