What is the Least Common Multiple of 68512 and 68517?

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 68512 and 68517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68512 and 68517, than apply into the LCM equation.

GCF(68512,68517) = 1
LCM(68512,68517) = ( 68512 × 68517) / 1
LCM(68512,68517) = 4694236704 / 1
LCM(68512,68517) = 4694236704

Least Common Multiple (LCM) of 68512 and 68517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68512 and 68517. First we will calculate the prime factors of 68512 and 68517.

Prime Factorization of 68512

Prime Factorization of 68517

Now multiplying the highest exponent prime factors to calculate the LCM of 68512 and 68517.

LCM(68512,68517) = 2⁵ × 2141¹ × 3² × 23¹ × 331¹
LCM(68512,68517) = 4694236704