What is the Least Common Multiple of 90240 and 90248?

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 90240 and 90248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90240 and 90248, than apply into the LCM equation.

GCF(90240,90248) = 8
LCM(90240,90248) = ( 90240 × 90248) / 8
LCM(90240,90248) = 8143979520 / 8
LCM(90240,90248) = 1017997440

Least Common Multiple (LCM) of 90240 and 90248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90240 and 90248. First we will calculate the prime factors of 90240 and 90248.

Prime Factorization of 90240

Prime Factorization of 90248

Now multiplying the highest exponent prime factors to calculate the LCM of 90240 and 90248.

LCM(90240,90248) = 2⁷ × 3¹ × 5¹ × 47¹ × 29¹ × 389¹
LCM(90240,90248) = 1017997440