What is the Least Common Multiple of 75960 and 75975?

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 75960 and 75975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75960 and 75975, than apply into the LCM equation.

GCF(75960,75975) = 15
LCM(75960,75975) = ( 75960 × 75975) / 15
LCM(75960,75975) = 5771061000 / 15
LCM(75960,75975) = 384737400

Least Common Multiple (LCM) of 75960 and 75975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75960 and 75975. First we will calculate the prime factors of 75960 and 75975.

Prime Factorization of 75960

Prime Factorization of 75975

Now multiplying the highest exponent prime factors to calculate the LCM of 75960 and 75975.

LCM(75960,75975) = 2³ × 3² × 5² × 211¹ × 1013¹
LCM(75960,75975) = 384737400