What is the Least Common Multiple of 93216 and 93228?

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 93228 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 93228, than apply into the LCM equation.

GCF(93216,93228) = 12
LCM(93216,93228) = ( 93216 × 93228) / 12
LCM(93216,93228) = 8690341248 / 12
LCM(93216,93228) = 724195104

Least Common Multiple (LCM) of 93216 and 93228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93216 and 93228. First we will calculate the prime factors of 93216 and 93228.

Prime Factorization of 93216

Prime Factorization of 93228

Now multiplying the highest exponent prime factors to calculate the LCM of 93216 and 93228.

LCM(93216,93228) = 2⁵ × 3¹ × 971¹ × 17¹ × 457¹
LCM(93216,93228) = 724195104