What is the Least Common Multiple of 38512 and 38517?

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 38512 and 38517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38512 and 38517, than apply into the LCM equation.

GCF(38512,38517) = 1
LCM(38512,38517) = ( 38512 × 38517) / 1
LCM(38512,38517) = 1483366704 / 1
LCM(38512,38517) = 1483366704

Least Common Multiple (LCM) of 38512 and 38517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38512 and 38517. First we will calculate the prime factors of 38512 and 38517.

Prime Factorization of 38512

Prime Factorization of 38517

Now multiplying the highest exponent prime factors to calculate the LCM of 38512 and 38517.

LCM(38512,38517) = 2⁴ × 29¹ × 83¹ × 3¹ × 37¹ × 347¹
LCM(38512,38517) = 1483366704