What is the Least Common Multiple of 93240 and 93248?

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 93240 and 93248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93240 and 93248, than apply into the LCM equation.

GCF(93240,93248) = 8
LCM(93240,93248) = ( 93240 × 93248) / 8
LCM(93240,93248) = 8694443520 / 8
LCM(93240,93248) = 1086805440

Least Common Multiple (LCM) of 93240 and 93248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93240 and 93248. First we will calculate the prime factors of 93240 and 93248.

Prime Factorization of 93240

Prime Factorization of 93248

Now multiplying the highest exponent prime factors to calculate the LCM of 93240 and 93248.

LCM(93240,93248) = 2⁶ × 3² × 5¹ × 7¹ × 37¹ × 31¹ × 47¹
LCM(93240,93248) = 1086805440