What is the Least Common Multiple of 93272 and 93284?

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 93272 and 93284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93272 and 93284, than apply into the LCM equation.

GCF(93272,93284) = 4
LCM(93272,93284) = ( 93272 × 93284) / 4
LCM(93272,93284) = 8700785248 / 4
LCM(93272,93284) = 2175196312

Least Common Multiple (LCM) of 93272 and 93284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93272 and 93284. First we will calculate the prime factors of 93272 and 93284.

Prime Factorization of 93272

Prime Factorization of 93284

Now multiplying the highest exponent prime factors to calculate the LCM of 93272 and 93284.

LCM(93272,93284) = 2³ × 89¹ × 131¹ × 23321¹
LCM(93272,93284) = 2175196312