What is the Least Common Multiple of 8880 and 8896?

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 8880 and 8896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8880 and 8896, than apply into the LCM equation.

GCF(8880,8896) = 16
LCM(8880,8896) = ( 8880 × 8896) / 16
LCM(8880,8896) = 78996480 / 16
LCM(8880,8896) = 4937280

Least Common Multiple (LCM) of 8880 and 8896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8880 and 8896. First we will calculate the prime factors of 8880 and 8896.

Prime Factorization of 8880

Prime Factorization of 8896

Now multiplying the highest exponent prime factors to calculate the LCM of 8880 and 8896.

LCM(8880,8896) = 2⁶ × 3¹ × 5¹ × 37¹ × 139¹
LCM(8880,8896) = 4937280