What is the Least Common Multiple of 57513 and 57522?

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 57513 and 57522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57513 and 57522, than apply into the LCM equation.

GCF(57513,57522) = 3
LCM(57513,57522) = ( 57513 × 57522) / 3
LCM(57513,57522) = 3308262786 / 3
LCM(57513,57522) = 1102754262

Least Common Multiple (LCM) of 57513 and 57522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57513 and 57522. First we will calculate the prime factors of 57513 and 57522.

Prime Factorization of 57513

Prime Factorization of 57522

Now multiplying the highest exponent prime factors to calculate the LCM of 57513 and 57522.

LCM(57513,57522) = 3¹ × 19¹ × 1009¹ × 2¹ × 9587¹
LCM(57513,57522) = 1102754262