What is the Least Common Multiple of 68408 and 68422?

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 68422 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 68422, than apply into the LCM equation.

GCF(68408,68422) = 2
LCM(68408,68422) = ( 68408 × 68422) / 2
LCM(68408,68422) = 4680612176 / 2
LCM(68408,68422) = 2340306088

Least Common Multiple (LCM) of 68408 and 68422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68408 and 68422. First we will calculate the prime factors of 68408 and 68422.

Prime Factorization of 68408

Prime Factorization of 68422

Now multiplying the highest exponent prime factors to calculate the LCM of 68408 and 68422.

LCM(68408,68422) = 2³ × 17¹ × 503¹ × 34211¹
LCM(68408,68422) = 2340306088