What is the Least Common Multiple of 38300 and 38314?

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 38300 and 38314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38300 and 38314, than apply into the LCM equation.

GCF(38300,38314) = 2
LCM(38300,38314) = ( 38300 × 38314) / 2
LCM(38300,38314) = 1467426200 / 2
LCM(38300,38314) = 733713100

Least Common Multiple (LCM) of 38300 and 38314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38300 and 38314. First we will calculate the prime factors of 38300 and 38314.

Prime Factorization of 38300

Prime Factorization of 38314

Now multiplying the highest exponent prime factors to calculate the LCM of 38300 and 38314.

LCM(38300,38314) = 2² × 5² × 383¹ × 19157¹
LCM(38300,38314) = 733713100