What is the Least Common Multiple of 52513 and 52532?

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 52513 and 52532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52513 and 52532, than apply into the LCM equation.

GCF(52513,52532) = 1
LCM(52513,52532) = ( 52513 × 52532) / 1
LCM(52513,52532) = 2758612916 / 1
LCM(52513,52532) = 2758612916

Least Common Multiple (LCM) of 52513 and 52532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52513 and 52532. First we will calculate the prime factors of 52513 and 52532.

Prime Factorization of 52513

Prime Factorization of 52532

Now multiplying the highest exponent prime factors to calculate the LCM of 52513 and 52532.

LCM(52513,52532) = 17¹ × 3089¹ × 2² × 23¹ × 571¹
LCM(52513,52532) = 2758612916