What is the Least Common Multiple of 7872 and 7888?

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 7872 and 7888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7872 and 7888, than apply into the LCM equation.

GCF(7872,7888) = 16
LCM(7872,7888) = ( 7872 × 7888) / 16
LCM(7872,7888) = 62094336 / 16
LCM(7872,7888) = 3880896

Least Common Multiple (LCM) of 7872 and 7888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7872 and 7888. First we will calculate the prime factors of 7872 and 7888.

Prime Factorization of 7872

Prime Factorization of 7888

Now multiplying the highest exponent prime factors to calculate the LCM of 7872 and 7888.

LCM(7872,7888) = 2⁶ × 3¹ × 41¹ × 17¹ × 29¹
LCM(7872,7888) = 3880896