What is the Least Common Multiple of 38190 and 38204?

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 38190 and 38204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38190 and 38204, than apply into the LCM equation.

GCF(38190,38204) = 2
LCM(38190,38204) = ( 38190 × 38204) / 2
LCM(38190,38204) = 1459010760 / 2
LCM(38190,38204) = 729505380

Least Common Multiple (LCM) of 38190 and 38204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38190 and 38204. First we will calculate the prime factors of 38190 and 38204.

Prime Factorization of 38190

Prime Factorization of 38204

Now multiplying the highest exponent prime factors to calculate the LCM of 38190 and 38204.

LCM(38190,38204) = 2² × 3¹ × 5¹ × 19¹ × 67¹ × 9551¹
LCM(38190,38204) = 729505380