What is the Least Common Multiple of 68289 and 68302?

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 68289 and 68302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68289 and 68302, than apply into the LCM equation.

GCF(68289,68302) = 13
LCM(68289,68302) = ( 68289 × 68302) / 13
LCM(68289,68302) = 4664275278 / 13
LCM(68289,68302) = 358790406

Least Common Multiple (LCM) of 68289 and 68302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68289 and 68302. First we will calculate the prime factors of 68289 and 68302.

Prime Factorization of 68289

Prime Factorization of 68302

Now multiplying the highest exponent prime factors to calculate the LCM of 68289 and 68302.

LCM(68289,68302) = 3¹ × 13¹ × 17¹ × 103¹ × 2¹ × 37¹ × 71¹
LCM(68289,68302) = 358790406