What is the Least Common Multiple of 10108 and 10126?

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 10108 and 10126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10108 and 10126, than apply into the LCM equation.

GCF(10108,10126) = 2
LCM(10108,10126) = ( 10108 × 10126) / 2
LCM(10108,10126) = 102353608 / 2
LCM(10108,10126) = 51176804

Least Common Multiple (LCM) of 10108 and 10126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10108 and 10126. First we will calculate the prime factors of 10108 and 10126.

Prime Factorization of 10108

Prime Factorization of 10126

Now multiplying the highest exponent prime factors to calculate the LCM of 10108 and 10126.

LCM(10108,10126) = 2² × 7¹ × 19² × 61¹ × 83¹
LCM(10108,10126) = 51176804