What is the Least Common Multiple of 38085 and 38102?

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 38085 and 38102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38085 and 38102, than apply into the LCM equation.

GCF(38085,38102) = 1
LCM(38085,38102) = ( 38085 × 38102) / 1
LCM(38085,38102) = 1451114670 / 1
LCM(38085,38102) = 1451114670

Least Common Multiple (LCM) of 38085 and 38102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38085 and 38102. First we will calculate the prime factors of 38085 and 38102.

Prime Factorization of 38085

Prime Factorization of 38102

Now multiplying the highest exponent prime factors to calculate the LCM of 38085 and 38102.

LCM(38085,38102) = 3¹ × 5¹ × 2539¹ × 2¹ × 19051¹
LCM(38085,38102) = 1451114670