What is the Least Common Multiple of 38800 and 38813?

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 38800 and 38813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38800 and 38813, than apply into the LCM equation.

GCF(38800,38813) = 1
LCM(38800,38813) = ( 38800 × 38813) / 1
LCM(38800,38813) = 1505944400 / 1
LCM(38800,38813) = 1505944400

Least Common Multiple (LCM) of 38800 and 38813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38800 and 38813. First we will calculate the prime factors of 38800 and 38813.

Prime Factorization of 38800

Prime Factorization of 38813

Now multiplying the highest exponent prime factors to calculate the LCM of 38800 and 38813.

LCM(38800,38813) = 2⁴ × 5² × 97¹ × 37¹ × 1049¹
LCM(38800,38813) = 1505944400