What is the Least Common Multiple of 68701 and 68721?

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 68701 and 68721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68701 and 68721, than apply into the LCM equation.

GCF(68701,68721) = 1
LCM(68701,68721) = ( 68701 × 68721) / 1
LCM(68701,68721) = 4721201421 / 1
LCM(68701,68721) = 4721201421

Least Common Multiple (LCM) of 68701 and 68721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68701 and 68721. First we will calculate the prime factors of 68701 and 68721.

Prime Factorization of 68701

Prime Factorization of 68721

Now multiplying the highest exponent prime factors to calculate the LCM of 68701 and 68721.

LCM(68701,68721) = 23¹ × 29¹ × 103¹ × 3¹ × 22907¹
LCM(68701,68721) = 4721201421