What is the Least Common Multiple of 67896 and 67904?

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 67896 and 67904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67896 and 67904, than apply into the LCM equation.

GCF(67896,67904) = 8
LCM(67896,67904) = ( 67896 × 67904) / 8
LCM(67896,67904) = 4610409984 / 8
LCM(67896,67904) = 576301248

Least Common Multiple (LCM) of 67896 and 67904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67896 and 67904. First we will calculate the prime factors of 67896 and 67904.

Prime Factorization of 67896

Prime Factorization of 67904

Now multiplying the highest exponent prime factors to calculate the LCM of 67896 and 67904.

LCM(67896,67904) = 2⁶ × 3² × 23¹ × 41¹ × 1061¹
LCM(67896,67904) = 576301248