What is the Least Common Multiple of 57225 and 57239?

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 57225 and 57239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57225 and 57239, than apply into the LCM equation.

GCF(57225,57239) = 7
LCM(57225,57239) = ( 57225 × 57239) / 7
LCM(57225,57239) = 3275501775 / 7
LCM(57225,57239) = 467928825

Least Common Multiple (LCM) of 57225 and 57239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57225 and 57239. First we will calculate the prime factors of 57225 and 57239.

Prime Factorization of 57225

Prime Factorization of 57239

Now multiplying the highest exponent prime factors to calculate the LCM of 57225 and 57239.

LCM(57225,57239) = 3¹ × 5² × 7¹ × 109¹ × 13¹ × 17¹ × 37¹
LCM(57225,57239) = 467928825