What is the Least Common Multiple of 51800 and 51808?

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 51808 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 51808, than apply into the LCM equation.

GCF(51800,51808) = 8
LCM(51800,51808) = ( 51800 × 51808) / 8
LCM(51800,51808) = 2683654400 / 8
LCM(51800,51808) = 335456800

Least Common Multiple (LCM) of 51800 and 51808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51800 and 51808. First we will calculate the prime factors of 51800 and 51808.

Prime Factorization of 51800

Prime Factorization of 51808

Now multiplying the highest exponent prime factors to calculate the LCM of 51800 and 51808.

LCM(51800,51808) = 2⁵ × 5² × 7¹ × 37¹ × 1619¹
LCM(51800,51808) = 335456800