What is the Least Common Multiple of 55800 and 55814?

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 55800 and 55814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55800 and 55814, than apply into the LCM equation.

GCF(55800,55814) = 2
LCM(55800,55814) = ( 55800 × 55814) / 2
LCM(55800,55814) = 3114421200 / 2
LCM(55800,55814) = 1557210600

Least Common Multiple (LCM) of 55800 and 55814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55800 and 55814. First we will calculate the prime factors of 55800 and 55814.

Prime Factorization of 55800

Prime Factorization of 55814

Now multiplying the highest exponent prime factors to calculate the LCM of 55800 and 55814.

LCM(55800,55814) = 2³ × 3² × 5² × 31¹ × 11¹ × 43¹ × 59¹
LCM(55800,55814) = 1557210600