What is the Least Common Multiple of 57800 and 57813?

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 57800 and 57813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57800 and 57813, than apply into the LCM equation.

GCF(57800,57813) = 1
LCM(57800,57813) = ( 57800 × 57813) / 1
LCM(57800,57813) = 3341591400 / 1
LCM(57800,57813) = 3341591400

Least Common Multiple (LCM) of 57800 and 57813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57800 and 57813. First we will calculate the prime factors of 57800 and 57813.

Prime Factorization of 57800

Prime Factorization of 57813

Now multiplying the highest exponent prime factors to calculate the LCM of 57800 and 57813.

LCM(57800,57813) = 2³ × 5² × 17² × 3¹ × 7¹ × 2753¹
LCM(57800,57813) = 3341591400