What is the Least Common Multiple of 67896 and 67912?

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 67912 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 67912, than apply into the LCM equation.

GCF(67896,67912) = 8
LCM(67896,67912) = ( 67896 × 67912) / 8
LCM(67896,67912) = 4610953152 / 8
LCM(67896,67912) = 576369144

Least Common Multiple (LCM) of 67896 and 67912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67896 and 67912. First we will calculate the prime factors of 67896 and 67912.

Prime Factorization of 67896

Prime Factorization of 67912

Now multiplying the highest exponent prime factors to calculate the LCM of 67896 and 67912.

LCM(67896,67912) = 2³ × 3² × 23¹ × 41¹ × 13¹ × 653¹
LCM(67896,67912) = 576369144