What is the Least Common Multiple of 38103 and 38122?

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 38103 and 38122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38103 and 38122, than apply into the LCM equation.

GCF(38103,38122) = 1
LCM(38103,38122) = ( 38103 × 38122) / 1
LCM(38103,38122) = 1452562566 / 1
LCM(38103,38122) = 1452562566

Least Common Multiple (LCM) of 38103 and 38122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38103 and 38122. First we will calculate the prime factors of 38103 and 38122.

Prime Factorization of 38103

Prime Factorization of 38122

Now multiplying the highest exponent prime factors to calculate the LCM of 38103 and 38122.

LCM(38103,38122) = 3¹ × 13¹ × 977¹ × 2¹ × 7² × 389¹
LCM(38103,38122) = 1452562566