What is the Least Common Multiple of 91888 and 91896?

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 91888 and 91896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91888 and 91896, than apply into the LCM equation.

GCF(91888,91896) = 8
LCM(91888,91896) = ( 91888 × 91896) / 8
LCM(91888,91896) = 8444139648 / 8
LCM(91888,91896) = 1055517456

Least Common Multiple (LCM) of 91888 and 91896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91888 and 91896. First we will calculate the prime factors of 91888 and 91896.

Prime Factorization of 91888

Prime Factorization of 91896

Now multiplying the highest exponent prime factors to calculate the LCM of 91888 and 91896.

LCM(91888,91896) = 2⁴ × 5743¹ × 3¹ × 7¹ × 547¹
LCM(91888,91896) = 1055517456