What is the Least Common Multiple of 57380 and 57385?

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 57380 and 57385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57380 and 57385, than apply into the LCM equation.

GCF(57380,57385) = 5
LCM(57380,57385) = ( 57380 × 57385) / 5
LCM(57380,57385) = 3292751300 / 5
LCM(57380,57385) = 658550260

Least Common Multiple (LCM) of 57380 and 57385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57380 and 57385. First we will calculate the prime factors of 57380 and 57385.

Prime Factorization of 57380

Prime Factorization of 57385

Now multiplying the highest exponent prime factors to calculate the LCM of 57380 and 57385.

LCM(57380,57385) = 2² × 5¹ × 19¹ × 151¹ × 23¹ × 499¹
LCM(57380,57385) = 658550260