What is the Least Common Multiple of 57969 and 57975?

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 57969 and 57975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57969 and 57975, than apply into the LCM equation.

GCF(57969,57975) = 3
LCM(57969,57975) = ( 57969 × 57975) / 3
LCM(57969,57975) = 3360752775 / 3
LCM(57969,57975) = 1120250925

Least Common Multiple (LCM) of 57969 and 57975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57969 and 57975. First we will calculate the prime factors of 57969 and 57975.

Prime Factorization of 57969

Prime Factorization of 57975

Now multiplying the highest exponent prime factors to calculate the LCM of 57969 and 57975.

LCM(57969,57975) = 3³ × 19¹ × 113¹ × 5² × 773¹
LCM(57969,57975) = 1120250925