What is the Least Common Multiple of 38184 and 38200?

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 38184 and 38200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38184 and 38200, than apply into the LCM equation.

GCF(38184,38200) = 8
LCM(38184,38200) = ( 38184 × 38200) / 8
LCM(38184,38200) = 1458628800 / 8
LCM(38184,38200) = 182328600

Least Common Multiple (LCM) of 38184 and 38200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38184 and 38200. First we will calculate the prime factors of 38184 and 38200.

Prime Factorization of 38184

Prime Factorization of 38200

Now multiplying the highest exponent prime factors to calculate the LCM of 38184 and 38200.

LCM(38184,38200) = 2³ × 3¹ × 37¹ × 43¹ × 5² × 191¹
LCM(38184,38200) = 182328600