What is the Least Common Multiple of 57514 and 57526?

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 57514 and 57526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57514 and 57526, than apply into the LCM equation.

GCF(57514,57526) = 2
LCM(57514,57526) = ( 57514 × 57526) / 2
LCM(57514,57526) = 3308550364 / 2
LCM(57514,57526) = 1654275182

Least Common Multiple (LCM) of 57514 and 57526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57514 and 57526. First we will calculate the prime factors of 57514 and 57526.

Prime Factorization of 57514

Prime Factorization of 57526

Now multiplying the highest exponent prime factors to calculate the LCM of 57514 and 57526.

LCM(57514,57526) = 2¹ × 149¹ × 193¹ × 7² × 587¹
LCM(57514,57526) = 1654275182