What is the Least Common Multiple of 44800 and 44814?

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 44800 and 44814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44800 and 44814, than apply into the LCM equation.

GCF(44800,44814) = 14
LCM(44800,44814) = ( 44800 × 44814) / 14
LCM(44800,44814) = 2007667200 / 14
LCM(44800,44814) = 143404800

Least Common Multiple (LCM) of 44800 and 44814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44800 and 44814. First we will calculate the prime factors of 44800 and 44814.

Prime Factorization of 44800

Prime Factorization of 44814

Now multiplying the highest exponent prime factors to calculate the LCM of 44800 and 44814.

LCM(44800,44814) = 2⁸ × 5² × 7¹ × 3¹ × 11¹ × 97¹
LCM(44800,44814) = 143404800