What is the Least Common Multiple of 50048 and 50056?

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 50048 and 50056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50048 and 50056, than apply into the LCM equation.

GCF(50048,50056) = 8
LCM(50048,50056) = ( 50048 × 50056) / 8
LCM(50048,50056) = 2505202688 / 8
LCM(50048,50056) = 313150336

Least Common Multiple (LCM) of 50048 and 50056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50048 and 50056. First we will calculate the prime factors of 50048 and 50056.

Prime Factorization of 50048

Prime Factorization of 50056

Now multiplying the highest exponent prime factors to calculate the LCM of 50048 and 50056.

LCM(50048,50056) = 2⁷ × 17¹ × 23¹ × 6257¹
LCM(50048,50056) = 313150336