What is the Least Common Multiple of 38190 and 38205?

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 38205 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 38205, than apply into the LCM equation.

GCF(38190,38205) = 15
LCM(38190,38205) = ( 38190 × 38205) / 15
LCM(38190,38205) = 1459048950 / 15
LCM(38190,38205) = 97269930

Least Common Multiple (LCM) of 38190 and 38205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38190 and 38205. First we will calculate the prime factors of 38190 and 38205.

Prime Factorization of 38190

Prime Factorization of 38205

Now multiplying the highest exponent prime factors to calculate the LCM of 38190 and 38205.

LCM(38190,38205) = 2¹ × 3³ × 5¹ × 19¹ × 67¹ × 283¹
LCM(38190,38205) = 97269930