What is the Least Common Multiple of 48800 and 48814?

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 48800 and 48814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48800 and 48814, than apply into the LCM equation.

GCF(48800,48814) = 2
LCM(48800,48814) = ( 48800 × 48814) / 2
LCM(48800,48814) = 2382123200 / 2
LCM(48800,48814) = 1191061600

Least Common Multiple (LCM) of 48800 and 48814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48800 and 48814. First we will calculate the prime factors of 48800 and 48814.

Prime Factorization of 48800

Prime Factorization of 48814

Now multiplying the highest exponent prime factors to calculate the LCM of 48800 and 48814.

LCM(48800,48814) = 2⁵ × 5² × 61¹ × 24407¹
LCM(48800,48814) = 1191061600