What is the Least Common Multiple of 51800 and 51814?

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 51800 and 51814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51800 and 51814, than apply into the LCM equation.

GCF(51800,51814) = 14
LCM(51800,51814) = ( 51800 × 51814) / 14
LCM(51800,51814) = 2683965200 / 14
LCM(51800,51814) = 191711800

Least Common Multiple (LCM) of 51800 and 51814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51800 and 51814. First we will calculate the prime factors of 51800 and 51814.

Prime Factorization of 51800

Prime Factorization of 51814

Now multiplying the highest exponent prime factors to calculate the LCM of 51800 and 51814.

LCM(51800,51814) = 2³ × 5² × 7¹ × 37¹ × 3701¹
LCM(51800,51814) = 191711800