What is the Least Common Multiple of 68208 and 68214?

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 68208 and 68214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68208 and 68214, than apply into the LCM equation.

GCF(68208,68214) = 6
LCM(68208,68214) = ( 68208 × 68214) / 6
LCM(68208,68214) = 4652740512 / 6
LCM(68208,68214) = 775456752

Least Common Multiple (LCM) of 68208 and 68214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68208 and 68214. First we will calculate the prime factors of 68208 and 68214.

Prime Factorization of 68208

Prime Factorization of 68214

Now multiplying the highest exponent prime factors to calculate the LCM of 68208 and 68214.

LCM(68208,68214) = 2⁴ × 3¹ × 7² × 29¹ × 11369¹
LCM(68208,68214) = 775456752