What is the Least Common Multiple of 10116 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 10116 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 10116 and 10126, than apply into the LCM equation.

GCF(10116,10126) = 2
LCM(10116,10126) = ( 10116 × 10126) / 2
LCM(10116,10126) = 102434616 / 2
LCM(10116,10126) = 51217308

Least Common Multiple (LCM) of 10116 and 10126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10116 and 10126. First we will calculate the prime factors of 10116 and 10126.

Prime Factorization of 10116

Prime Factorization of 10126

Now multiplying the highest exponent prime factors to calculate the LCM of 10116 and 10126.

LCM(10116,10126) = 2² × 3² × 281¹ × 61¹ × 83¹
LCM(10116,10126) = 51217308