What is the Least Common Multiple of 57519 and 57538?

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 57519 and 57538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57519 and 57538, than apply into the LCM equation.

GCF(57519,57538) = 1
LCM(57519,57538) = ( 57519 × 57538) / 1
LCM(57519,57538) = 3309528222 / 1
LCM(57519,57538) = 3309528222

Least Common Multiple (LCM) of 57519 and 57538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57519 and 57538. First we will calculate the prime factors of 57519 and 57538.

Prime Factorization of 57519

Prime Factorization of 57538

Now multiplying the highest exponent prime factors to calculate the LCM of 57519 and 57538.

LCM(57519,57538) = 3² × 7¹ × 11¹ × 83¹ × 2¹ × 13¹ × 2213¹
LCM(57519,57538) = 3309528222