What is the Least Common Multiple of 38375 and 38382?

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 38375 and 38382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38375 and 38382, than apply into the LCM equation.

GCF(38375,38382) = 1
LCM(38375,38382) = ( 38375 × 38382) / 1
LCM(38375,38382) = 1472909250 / 1
LCM(38375,38382) = 1472909250

Least Common Multiple (LCM) of 38375 and 38382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38375 and 38382. First we will calculate the prime factors of 38375 and 38382.

Prime Factorization of 38375

Prime Factorization of 38382

Now multiplying the highest exponent prime factors to calculate the LCM of 38375 and 38382.

LCM(38375,38382) = 5³ × 307¹ × 2¹ × 3¹ × 6397¹
LCM(38375,38382) = 1472909250