What is the Least Common Multiple of 38275 and 38292?

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 38275 and 38292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38275 and 38292, than apply into the LCM equation.

GCF(38275,38292) = 1
LCM(38275,38292) = ( 38275 × 38292) / 1
LCM(38275,38292) = 1465626300 / 1
LCM(38275,38292) = 1465626300

Least Common Multiple (LCM) of 38275 and 38292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38275 and 38292. First we will calculate the prime factors of 38275 and 38292.

Prime Factorization of 38275

Prime Factorization of 38292

Now multiplying the highest exponent prime factors to calculate the LCM of 38275 and 38292.

LCM(38275,38292) = 5² × 1531¹ × 2² × 3¹ × 3191¹
LCM(38275,38292) = 1465626300