What is the Least Common Multiple of 68141 and 68161?

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 68141 and 68161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68141 and 68161, than apply into the LCM equation.

GCF(68141,68161) = 1
LCM(68141,68161) = ( 68141 × 68161) / 1
LCM(68141,68161) = 4644558701 / 1
LCM(68141,68161) = 4644558701

Least Common Multiple (LCM) of 68141 and 68161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68141 and 68161. First we will calculate the prime factors of 68141 and 68161.

Prime Factorization of 68141

Prime Factorization of 68161

Now multiplying the highest exponent prime factors to calculate the LCM of 68141 and 68161.

LCM(68141,68161) = 68141¹ × 68161¹
LCM(68141,68161) = 4644558701