What is the Least Common Multiple of 52108 and 52122?

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 52108 and 52122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52108 and 52122, than apply into the LCM equation.

GCF(52108,52122) = 14
LCM(52108,52122) = ( 52108 × 52122) / 14
LCM(52108,52122) = 2715973176 / 14
LCM(52108,52122) = 193998084

Least Common Multiple (LCM) of 52108 and 52122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52108 and 52122. First we will calculate the prime factors of 52108 and 52122.

Prime Factorization of 52108

Prime Factorization of 52122

Now multiplying the highest exponent prime factors to calculate the LCM of 52108 and 52122.

LCM(52108,52122) = 2² × 7¹ × 1861¹ × 3¹ × 17¹ × 73¹
LCM(52108,52122) = 193998084