What is the Least Common Multiple of 68211 and 68231?

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 68211 and 68231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68211 and 68231, than apply into the LCM equation.

GCF(68211,68231) = 1
LCM(68211,68231) = ( 68211 × 68231) / 1
LCM(68211,68231) = 4654104741 / 1
LCM(68211,68231) = 4654104741

Least Common Multiple (LCM) of 68211 and 68231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68211 and 68231. First we will calculate the prime factors of 68211 and 68231.

Prime Factorization of 68211

Prime Factorization of 68231

Now multiplying the highest exponent prime factors to calculate the LCM of 68211 and 68231.

LCM(68211,68231) = 3² × 11¹ × 13¹ × 53¹ × 31² × 71¹
LCM(68211,68231) = 4654104741