What is the Least Common Multiple of 68169 and 68189?

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 68169 and 68189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68169 and 68189, than apply into the LCM equation.

GCF(68169,68189) = 1
LCM(68169,68189) = ( 68169 × 68189) / 1
LCM(68169,68189) = 4648375941 / 1
LCM(68169,68189) = 4648375941

Least Common Multiple (LCM) of 68169 and 68189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68169 and 68189. First we will calculate the prime factors of 68169 and 68189.

Prime Factorization of 68169

Prime Factorization of 68189

Now multiplying the highest exponent prime factors to calculate the LCM of 68169 and 68189.

LCM(68169,68189) = 3¹ × 31¹ × 733¹ × 11¹ × 6199¹
LCM(68169,68189) = 4648375941