What is the Least Common Multiple of 68782 and 68798?

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 68782 and 68798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68782 and 68798, than apply into the LCM equation.

GCF(68782,68798) = 2
LCM(68782,68798) = ( 68782 × 68798) / 2
LCM(68782,68798) = 4732064036 / 2
LCM(68782,68798) = 2366032018

Least Common Multiple (LCM) of 68782 and 68798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68782 and 68798. First we will calculate the prime factors of 68782 and 68798.

Prime Factorization of 68782

Prime Factorization of 68798

Now multiplying the highest exponent prime factors to calculate the LCM of 68782 and 68798.

LCM(68782,68798) = 2¹ × 7¹ × 17³ × 41¹ × 839¹
LCM(68782,68798) = 2366032018