What is the Least Common Multiple of 52105 and 52123?

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 52105 and 52123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52105 and 52123, than apply into the LCM equation.

GCF(52105,52123) = 1
LCM(52105,52123) = ( 52105 × 52123) / 1
LCM(52105,52123) = 2715868915 / 1
LCM(52105,52123) = 2715868915

Least Common Multiple (LCM) of 52105 and 52123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52105 and 52123. First we will calculate the prime factors of 52105 and 52123.

Prime Factorization of 52105

Prime Factorization of 52123

Now multiplying the highest exponent prime factors to calculate the LCM of 52105 and 52123.

LCM(52105,52123) = 5¹ × 17¹ × 613¹ × 47¹ × 1109¹
LCM(52105,52123) = 2715868915