What is the Least Common Multiple of 57302 and 57309?

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 57302 and 57309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57302 and 57309, than apply into the LCM equation.

GCF(57302,57309) = 7
LCM(57302,57309) = ( 57302 × 57309) / 7
LCM(57302,57309) = 3283920318 / 7
LCM(57302,57309) = 469131474

Least Common Multiple (LCM) of 57302 and 57309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57302 and 57309. First we will calculate the prime factors of 57302 and 57309.

Prime Factorization of 57302

Prime Factorization of 57309

Now multiplying the highest exponent prime factors to calculate the LCM of 57302 and 57309.

LCM(57302,57309) = 2¹ × 7¹ × 4093¹ × 3¹ × 2729¹
LCM(57302,57309) = 469131474