What is the Least Common Multiple of 38124 and 38133?

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 38124 and 38133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38124 and 38133, than apply into the LCM equation.

GCF(38124,38133) = 9
LCM(38124,38133) = ( 38124 × 38133) / 9
LCM(38124,38133) = 1453782492 / 9
LCM(38124,38133) = 161531388

Least Common Multiple (LCM) of 38124 and 38133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38124 and 38133. First we will calculate the prime factors of 38124 and 38133.

Prime Factorization of 38124

Prime Factorization of 38133

Now multiplying the highest exponent prime factors to calculate the LCM of 38124 and 38133.

LCM(38124,38133) = 2² × 3³ × 353¹ × 19¹ × 223¹
LCM(38124,38133) = 161531388