What is the Least Common Multiple of 57382 and 57395?

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 57382 and 57395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57382 and 57395, than apply into the LCM equation.

GCF(57382,57395) = 13
LCM(57382,57395) = ( 57382 × 57395) / 13
LCM(57382,57395) = 3293439890 / 13
LCM(57382,57395) = 253341530

Least Common Multiple (LCM) of 57382 and 57395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57382 and 57395. First we will calculate the prime factors of 57382 and 57395.

Prime Factorization of 57382

Prime Factorization of 57395

Now multiplying the highest exponent prime factors to calculate the LCM of 57382 and 57395.

LCM(57382,57395) = 2¹ × 13¹ × 2207¹ × 5¹ × 883¹
LCM(57382,57395) = 253341530