What is the Least Common Multiple of 96028 and 96041?

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 96028 and 96041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96028 and 96041, than apply into the LCM equation.

GCF(96028,96041) = 1
LCM(96028,96041) = ( 96028 × 96041) / 1
LCM(96028,96041) = 9222625148 / 1
LCM(96028,96041) = 9222625148

Least Common Multiple (LCM) of 96028 and 96041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96028 and 96041. First we will calculate the prime factors of 96028 and 96041.

Prime Factorization of 96028

Prime Factorization of 96041

Now multiplying the highest exponent prime factors to calculate the LCM of 96028 and 96041.

LCM(96028,96041) = 2² × 24007¹ × 11¹ × 8731¹
LCM(96028,96041) = 9222625148