What is the Least Common Multiple of 96888 and 96896?

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 96888 and 96896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96888 and 96896, than apply into the LCM equation.

GCF(96888,96896) = 8
LCM(96888,96896) = ( 96888 × 96896) / 8
LCM(96888,96896) = 9388059648 / 8
LCM(96888,96896) = 1173507456

Least Common Multiple (LCM) of 96888 and 96896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96888 and 96896. First we will calculate the prime factors of 96888 and 96896.

Prime Factorization of 96888

Prime Factorization of 96896

Now multiplying the highest exponent prime factors to calculate the LCM of 96888 and 96896.

LCM(96888,96896) = 2⁷ × 3¹ × 11¹ × 367¹ × 757¹
LCM(96888,96896) = 1173507456