What is the Least Common Multiple of 68123 and 68137?

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 68137 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 68137, than apply into the LCM equation.

GCF(68123,68137) = 1
LCM(68123,68137) = ( 68123 × 68137) / 1
LCM(68123,68137) = 4641696851 / 1
LCM(68123,68137) = 4641696851

Least Common Multiple (LCM) of 68123 and 68137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68123 and 68137. First we will calculate the prime factors of 68123 and 68137.

Prime Factorization of 68123

Prime Factorization of 68137

Now multiplying the highest exponent prime factors to calculate the LCM of 68123 and 68137.

LCM(68123,68137) = 11² × 563¹ × 61¹ × 1117¹
LCM(68123,68137) = 4641696851