What is the Least Common Multiple of 52109 and 52128?

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 52109 and 52128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52109 and 52128, than apply into the LCM equation.

GCF(52109,52128) = 1
LCM(52109,52128) = ( 52109 × 52128) / 1
LCM(52109,52128) = 2716337952 / 1
LCM(52109,52128) = 2716337952

Least Common Multiple (LCM) of 52109 and 52128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52109 and 52128. First we will calculate the prime factors of 52109 and 52128.

Prime Factorization of 52109

Prime Factorization of 52128

Now multiplying the highest exponent prime factors to calculate the LCM of 52109 and 52128.

LCM(52109,52128) = 107¹ × 487¹ × 2⁵ × 3² × 181¹
LCM(52109,52128) = 2716337952