What is the Least Common Multiple of 68334 and 68352?

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 68334 and 68352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68334 and 68352, than apply into the LCM equation.

GCF(68334,68352) = 6
LCM(68334,68352) = ( 68334 × 68352) / 6
LCM(68334,68352) = 4670765568 / 6
LCM(68334,68352) = 778460928

Least Common Multiple (LCM) of 68334 and 68352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68334 and 68352. First we will calculate the prime factors of 68334 and 68352.

Prime Factorization of 68334

Prime Factorization of 68352

Now multiplying the highest exponent prime factors to calculate the LCM of 68334 and 68352.

LCM(68334,68352) = 2⁸ × 3¹ × 7¹ × 1627¹ × 89¹
LCM(68334,68352) = 778460928