What is the Least Common Multiple of 88880 and 88896?

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 88880 and 88896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88880 and 88896, than apply into the LCM equation.

GCF(88880,88896) = 16
LCM(88880,88896) = ( 88880 × 88896) / 16
LCM(88880,88896) = 7901076480 / 16
LCM(88880,88896) = 493817280

Least Common Multiple (LCM) of 88880 and 88896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88880 and 88896. First we will calculate the prime factors of 88880 and 88896.

Prime Factorization of 88880

Prime Factorization of 88896

Now multiplying the highest exponent prime factors to calculate the LCM of 88880 and 88896.

LCM(88880,88896) = 2⁶ × 5¹ × 11¹ × 101¹ × 3¹ × 463¹
LCM(88880,88896) = 493817280