What is the Least Common Multiple of 68689 and 68701?

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 68689 and 68701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68689 and 68701, than apply into the LCM equation.

GCF(68689,68701) = 1
LCM(68689,68701) = ( 68689 × 68701) / 1
LCM(68689,68701) = 4719002989 / 1
LCM(68689,68701) = 4719002989

Least Common Multiple (LCM) of 68689 and 68701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68689 and 68701. First we will calculate the prime factors of 68689 and 68701.

Prime Factorization of 68689

Prime Factorization of 68701

Now multiplying the highest exponent prime factors to calculate the LCM of 68689 and 68701.

LCM(68689,68701) = 149¹ × 461¹ × 23¹ × 29¹ × 103¹
LCM(68689,68701) = 4719002989