What is the Least Common Multiple of 52800 and 52814?

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 52800 and 52814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52800 and 52814, than apply into the LCM equation.

GCF(52800,52814) = 2
LCM(52800,52814) = ( 52800 × 52814) / 2
LCM(52800,52814) = 2788579200 / 2
LCM(52800,52814) = 1394289600

Least Common Multiple (LCM) of 52800 and 52814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52800 and 52814. First we will calculate the prime factors of 52800 and 52814.

Prime Factorization of 52800

Prime Factorization of 52814

Now multiplying the highest exponent prime factors to calculate the LCM of 52800 and 52814.

LCM(52800,52814) = 2⁶ × 3¹ × 5² × 11¹ × 26407¹
LCM(52800,52814) = 1394289600