What is the Least Common Multiple of 99428 and 99448?

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 99428 and 99448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99428 and 99448, than apply into the LCM equation.

GCF(99428,99448) = 4
LCM(99428,99448) = ( 99428 × 99448) / 4
LCM(99428,99448) = 9887915744 / 4
LCM(99428,99448) = 2471978936

Least Common Multiple (LCM) of 99428 and 99448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99428 and 99448. First we will calculate the prime factors of 99428 and 99448.

Prime Factorization of 99428

Prime Factorization of 99448

Now multiplying the highest exponent prime factors to calculate the LCM of 99428 and 99448.

LCM(99428,99448) = 2³ × 7¹ × 53¹ × 67¹ × 31¹ × 401¹
LCM(99428,99448) = 2471978936