What is the Least Common Multiple of 68231 and 68251?

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 68231 and 68251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68231 and 68251, than apply into the LCM equation.

GCF(68231,68251) = 1
LCM(68231,68251) = ( 68231 × 68251) / 1
LCM(68231,68251) = 4656833981 / 1
LCM(68231,68251) = 4656833981

Least Common Multiple (LCM) of 68231 and 68251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68231 and 68251. First we will calculate the prime factors of 68231 and 68251.

Prime Factorization of 68231

Prime Factorization of 68251

Now multiplying the highest exponent prime factors to calculate the LCM of 68231 and 68251.

LCM(68231,68251) = 31² × 71¹ × 131¹ × 521¹
LCM(68231,68251) = 4656833981