What is the Least Common Multiple of 10096 and 10102?

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 10096 and 10102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10096 and 10102, than apply into the LCM equation.

GCF(10096,10102) = 2
LCM(10096,10102) = ( 10096 × 10102) / 2
LCM(10096,10102) = 101989792 / 2
LCM(10096,10102) = 50994896

Least Common Multiple (LCM) of 10096 and 10102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10096 and 10102. First we will calculate the prime factors of 10096 and 10102.

Prime Factorization of 10096

Prime Factorization of 10102

Now multiplying the highest exponent prime factors to calculate the LCM of 10096 and 10102.

LCM(10096,10102) = 2⁴ × 631¹ × 5051¹
LCM(10096,10102) = 50994896