What is the Least Common Multiple of 68391 and 68408?

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 68391 and 68408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68391 and 68408, than apply into the LCM equation.

GCF(68391,68408) = 17
LCM(68391,68408) = ( 68391 × 68408) / 17
LCM(68391,68408) = 4678491528 / 17
LCM(68391,68408) = 275205384

Least Common Multiple (LCM) of 68391 and 68408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68391 and 68408. First we will calculate the prime factors of 68391 and 68408.

Prime Factorization of 68391

Prime Factorization of 68408

Now multiplying the highest exponent prime factors to calculate the LCM of 68391 and 68408.

LCM(68391,68408) = 3³ × 17¹ × 149¹ × 2³ × 503¹
LCM(68391,68408) = 275205384