What is the Least Common Multiple of 68123 and 68141?

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 68141 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 68141, than apply into the LCM equation.

GCF(68123,68141) = 1
LCM(68123,68141) = ( 68123 × 68141) / 1
LCM(68123,68141) = 4641969343 / 1
LCM(68123,68141) = 4641969343

Least Common Multiple (LCM) of 68123 and 68141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68123 and 68141. First we will calculate the prime factors of 68123 and 68141.

Prime Factorization of 68123

Prime Factorization of 68141

Now multiplying the highest exponent prime factors to calculate the LCM of 68123 and 68141.

LCM(68123,68141) = 11² × 563¹ × 68141¹
LCM(68123,68141) = 4641969343