What is the Least Common Multiple of 67878 and 67896?

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 67878 and 67896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67878 and 67896, than apply into the LCM equation.

GCF(67878,67896) = 18
LCM(67878,67896) = ( 67878 × 67896) / 18
LCM(67878,67896) = 4608644688 / 18
LCM(67878,67896) = 256035816

Least Common Multiple (LCM) of 67878 and 67896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67878 and 67896. First we will calculate the prime factors of 67878 and 67896.

Prime Factorization of 67878

Prime Factorization of 67896

Now multiplying the highest exponent prime factors to calculate the LCM of 67878 and 67896.

LCM(67878,67896) = 2³ × 3⁴ × 419¹ × 23¹ × 41¹
LCM(67878,67896) = 256035816