What is the Least Common Multiple of 57590 and 57610?

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 57590 and 57610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57590 and 57610, than apply into the LCM equation.

GCF(57590,57610) = 10
LCM(57590,57610) = ( 57590 × 57610) / 10
LCM(57590,57610) = 3317759900 / 10
LCM(57590,57610) = 331775990

Least Common Multiple (LCM) of 57590 and 57610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57590 and 57610. First we will calculate the prime factors of 57590 and 57610.

Prime Factorization of 57590

Prime Factorization of 57610

Now multiplying the highest exponent prime factors to calculate the LCM of 57590 and 57610.

LCM(57590,57610) = 2¹ × 5¹ × 13¹ × 443¹ × 7¹ × 823¹
LCM(57590,57610) = 331775990