What is the Least Common Multiple of 96216 and 96224?

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 96216 and 96224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96216 and 96224, than apply into the LCM equation.

GCF(96216,96224) = 8
LCM(96216,96224) = ( 96216 × 96224) / 8
LCM(96216,96224) = 9258288384 / 8
LCM(96216,96224) = 1157286048

Least Common Multiple (LCM) of 96216 and 96224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96216 and 96224. First we will calculate the prime factors of 96216 and 96224.

Prime Factorization of 96216

Prime Factorization of 96224

Now multiplying the highest exponent prime factors to calculate the LCM of 96216 and 96224.

LCM(96216,96224) = 2⁵ × 3¹ × 19¹ × 211¹ × 31¹ × 97¹
LCM(96216,96224) = 1157286048