What is the Least Common Multiple of 68854 and 68872?

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 68854 and 68872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68854 and 68872, than apply into the LCM equation.

GCF(68854,68872) = 2
LCM(68854,68872) = ( 68854 × 68872) / 2
LCM(68854,68872) = 4742112688 / 2
LCM(68854,68872) = 2371056344

Least Common Multiple (LCM) of 68854 and 68872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68854 and 68872. First we will calculate the prime factors of 68854 and 68872.

Prime Factorization of 68854

Prime Factorization of 68872

Now multiplying the highest exponent prime factors to calculate the LCM of 68854 and 68872.

LCM(68854,68872) = 2³ × 173¹ × 199¹ × 8609¹
LCM(68854,68872) = 2371056344