What is the Least Common Multiple of 78500 and 78517?

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 78500 and 78517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78500 and 78517, than apply into the LCM equation.

GCF(78500,78517) = 1
LCM(78500,78517) = ( 78500 × 78517) / 1
LCM(78500,78517) = 6163584500 / 1
LCM(78500,78517) = 6163584500

Least Common Multiple (LCM) of 78500 and 78517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78500 and 78517. First we will calculate the prime factors of 78500 and 78517.

Prime Factorization of 78500

Prime Factorization of 78517

Now multiplying the highest exponent prime factors to calculate the LCM of 78500 and 78517.

LCM(78500,78517) = 2² × 5³ × 157¹ × 78517¹
LCM(78500,78517) = 6163584500