What is the Least Common Multiple of 99448 and 99456?

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 99448 and 99456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99448 and 99456, than apply into the LCM equation.

GCF(99448,99456) = 8
LCM(99448,99456) = ( 99448 × 99456) / 8
LCM(99448,99456) = 9890700288 / 8
LCM(99448,99456) = 1236337536

Least Common Multiple (LCM) of 99448 and 99456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99448 and 99456. First we will calculate the prime factors of 99448 and 99456.

Prime Factorization of 99448

Prime Factorization of 99456

Now multiplying the highest exponent prime factors to calculate the LCM of 99448 and 99456.

LCM(99448,99456) = 2⁷ × 31¹ × 401¹ × 3¹ × 7¹ × 37¹
LCM(99448,99456) = 1236337536