What is the Least Common Multiple of 39512 and 39517?

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 39512 and 39517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39512 and 39517, than apply into the LCM equation.

GCF(39512,39517) = 1
LCM(39512,39517) = ( 39512 × 39517) / 1
LCM(39512,39517) = 1561395704 / 1
LCM(39512,39517) = 1561395704

Least Common Multiple (LCM) of 39512 and 39517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39512 and 39517. First we will calculate the prime factors of 39512 and 39517.

Prime Factorization of 39512

Prime Factorization of 39517

Now multiplying the highest exponent prime factors to calculate the LCM of 39512 and 39517.

LCM(39512,39517) = 2³ × 11¹ × 449¹ × 43¹ × 919¹
LCM(39512,39517) = 1561395704