What is the Least Common Multiple of 57380 and 57390?

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 57390 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 57390, than apply into the LCM equation.

GCF(57380,57390) = 10
LCM(57380,57390) = ( 57380 × 57390) / 10
LCM(57380,57390) = 3293038200 / 10
LCM(57380,57390) = 329303820

Least Common Multiple (LCM) of 57380 and 57390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57380 and 57390. First we will calculate the prime factors of 57380 and 57390.

Prime Factorization of 57380

Prime Factorization of 57390

Now multiplying the highest exponent prime factors to calculate the LCM of 57380 and 57390.

LCM(57380,57390) = 2² × 5¹ × 19¹ × 151¹ × 3¹ × 1913¹
LCM(57380,57390) = 329303820