What is the Least Common Multiple of 47240 and 47248?

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 47240 and 47248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47240 and 47248, than apply into the LCM equation.

GCF(47240,47248) = 8
LCM(47240,47248) = ( 47240 × 47248) / 8
LCM(47240,47248) = 2231995520 / 8
LCM(47240,47248) = 278999440

Least Common Multiple (LCM) of 47240 and 47248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47240 and 47248. First we will calculate the prime factors of 47240 and 47248.

Prime Factorization of 47240

Prime Factorization of 47248

Now multiplying the highest exponent prime factors to calculate the LCM of 47240 and 47248.

LCM(47240,47248) = 2⁴ × 5¹ × 1181¹ × 2953¹
LCM(47240,47248) = 278999440