What is the Least Common Multiple of 68805 and 68814?

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 68805 and 68814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68805 and 68814, than apply into the LCM equation.

GCF(68805,68814) = 9
LCM(68805,68814) = ( 68805 × 68814) / 9
LCM(68805,68814) = 4734747270 / 9
LCM(68805,68814) = 526083030

Least Common Multiple (LCM) of 68805 and 68814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68805 and 68814. First we will calculate the prime factors of 68805 and 68814.

Prime Factorization of 68805

Prime Factorization of 68814

Now multiplying the highest exponent prime factors to calculate the LCM of 68805 and 68814.

LCM(68805,68814) = 3² × 5¹ × 11¹ × 139¹ × 2¹ × 3823¹
LCM(68805,68814) = 526083030