What is the Least Common Multiple of 68269 and 68289?

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 68269 and 68289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68269 and 68289, than apply into the LCM equation.

GCF(68269,68289) = 1
LCM(68269,68289) = ( 68269 × 68289) / 1
LCM(68269,68289) = 4662021741 / 1
LCM(68269,68289) = 4662021741

Least Common Multiple (LCM) of 68269 and 68289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68269 and 68289. First we will calculate the prime factors of 68269 and 68289.

Prime Factorization of 68269

Prime Factorization of 68289

Now multiplying the highest exponent prime factors to calculate the LCM of 68269 and 68289.

LCM(68269,68289) = 233¹ × 293¹ × 3¹ × 13¹ × 17¹ × 103¹
LCM(68269,68289) = 4662021741