What is the Least Common Multiple of 96224 and 96232?

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 96224 and 96232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96224 and 96232, than apply into the LCM equation.

GCF(96224,96232) = 8
LCM(96224,96232) = ( 96224 × 96232) / 8
LCM(96224,96232) = 9259827968 / 8
LCM(96224,96232) = 1157478496

Least Common Multiple (LCM) of 96224 and 96232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96224 and 96232. First we will calculate the prime factors of 96224 and 96232.

Prime Factorization of 96224

Prime Factorization of 96232

Now multiplying the highest exponent prime factors to calculate the LCM of 96224 and 96232.

LCM(96224,96232) = 2⁵ × 31¹ × 97¹ × 23¹ × 523¹
LCM(96224,96232) = 1157478496