What is the Least Common Multiple of 68123 and 68143?

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 68123 and 68143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68123 and 68143, than apply into the LCM equation.

GCF(68123,68143) = 1
LCM(68123,68143) = ( 68123 × 68143) / 1
LCM(68123,68143) = 4642105589 / 1
LCM(68123,68143) = 4642105589

Least Common Multiple (LCM) of 68123 and 68143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68123 and 68143. First we will calculate the prime factors of 68123 and 68143.

Prime Factorization of 68123

Prime Factorization of 68143

Now multiplying the highest exponent prime factors to calculate the LCM of 68123 and 68143.

LCM(68123,68143) = 11² × 563¹ × 83¹ × 821¹
LCM(68123,68143) = 4642105589