What is the Least Common Multiple of 93216 and 93225?

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 93216 and 93225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93216 and 93225, than apply into the LCM equation.

GCF(93216,93225) = 3
LCM(93216,93225) = ( 93216 × 93225) / 3
LCM(93216,93225) = 8690061600 / 3
LCM(93216,93225) = 2896687200

Least Common Multiple (LCM) of 93216 and 93225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93216 and 93225. First we will calculate the prime factors of 93216 and 93225.

Prime Factorization of 93216

Prime Factorization of 93225

Now multiplying the highest exponent prime factors to calculate the LCM of 93216 and 93225.

LCM(93216,93225) = 2⁵ × 3¹ × 971¹ × 5² × 11¹ × 113¹
LCM(93216,93225) = 2896687200