What is the Least Common Multiple of 57510 and 57520?

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 57510 and 57520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57510 and 57520, than apply into the LCM equation.

GCF(57510,57520) = 10
LCM(57510,57520) = ( 57510 × 57520) / 10
LCM(57510,57520) = 3307975200 / 10
LCM(57510,57520) = 330797520

Least Common Multiple (LCM) of 57510 and 57520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57510 and 57520. First we will calculate the prime factors of 57510 and 57520.

Prime Factorization of 57510

Prime Factorization of 57520

Now multiplying the highest exponent prime factors to calculate the LCM of 57510 and 57520.

LCM(57510,57520) = 2⁴ × 3⁴ × 5¹ × 71¹ × 719¹
LCM(57510,57520) = 330797520