What is the Least Common Multiple of 68753 and 68773?

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 68753 and 68773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68753 and 68773, than apply into the LCM equation.

GCF(68753,68773) = 1
LCM(68753,68773) = ( 68753 × 68773) / 1
LCM(68753,68773) = 4728350069 / 1
LCM(68753,68773) = 4728350069

Least Common Multiple (LCM) of 68753 and 68773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68753 and 68773. First we will calculate the prime factors of 68753 and 68773.

Prime Factorization of 68753

Prime Factorization of 68773

Now multiplying the highest exponent prime factors to calculate the LCM of 68753 and 68773.

LCM(68753,68773) = 197¹ × 349¹ × 97¹ × 709¹
LCM(68753,68773) = 4728350069