What is the Least Common Multiple of 68408 and 68416?

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 68408 and 68416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68408 and 68416, than apply into the LCM equation.

GCF(68408,68416) = 8
LCM(68408,68416) = ( 68408 × 68416) / 8
LCM(68408,68416) = 4680201728 / 8
LCM(68408,68416) = 585025216

Least Common Multiple (LCM) of 68408 and 68416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68408 and 68416. First we will calculate the prime factors of 68408 and 68416.

Prime Factorization of 68408

Prime Factorization of 68416

Now multiplying the highest exponent prime factors to calculate the LCM of 68408 and 68416.

LCM(68408,68416) = 2⁶ × 17¹ × 503¹ × 1069¹
LCM(68408,68416) = 585025216