What is the Least Common Multiple of 38960 and 38975?

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 38960 and 38975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38960 and 38975, than apply into the LCM equation.

GCF(38960,38975) = 5
LCM(38960,38975) = ( 38960 × 38975) / 5
LCM(38960,38975) = 1518466000 / 5
LCM(38960,38975) = 303693200

Least Common Multiple (LCM) of 38960 and 38975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38960 and 38975. First we will calculate the prime factors of 38960 and 38975.

Prime Factorization of 38960

Prime Factorization of 38975

Now multiplying the highest exponent prime factors to calculate the LCM of 38960 and 38975.

LCM(38960,38975) = 2⁴ × 5² × 487¹ × 1559¹
LCM(38960,38975) = 303693200