What is the Least Common Multiple of 53116 and 53122?

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 53116 and 53122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53116 and 53122, than apply into the LCM equation.

GCF(53116,53122) = 2
LCM(53116,53122) = ( 53116 × 53122) / 2
LCM(53116,53122) = 2821628152 / 2
LCM(53116,53122) = 1410814076

Least Common Multiple (LCM) of 53116 and 53122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53116 and 53122. First we will calculate the prime factors of 53116 and 53122.

Prime Factorization of 53116

Prime Factorization of 53122

Now multiplying the highest exponent prime factors to calculate the LCM of 53116 and 53122.

LCM(53116,53122) = 2² × 7² × 271¹ × 26561¹
LCM(53116,53122) = 1410814076