What is the Least Common Multiple of 48103 and 48122?

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 48103 and 48122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48103 and 48122, than apply into the LCM equation.

GCF(48103,48122) = 1
LCM(48103,48122) = ( 48103 × 48122) / 1
LCM(48103,48122) = 2314812566 / 1
LCM(48103,48122) = 2314812566

Least Common Multiple (LCM) of 48103 and 48122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48103 and 48122. First we will calculate the prime factors of 48103 and 48122.

Prime Factorization of 48103

Prime Factorization of 48122

Now multiplying the highest exponent prime factors to calculate the LCM of 48103 and 48122.

LCM(48103,48122) = 11¹ × 4373¹ × 2¹ × 24061¹
LCM(48103,48122) = 2314812566