What is the Least Common Multiple of 52341 and 52345?

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 52341 and 52345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52341 and 52345, than apply into the LCM equation.

GCF(52341,52345) = 1
LCM(52341,52345) = ( 52341 × 52345) / 1
LCM(52341,52345) = 2739789645 / 1
LCM(52341,52345) = 2739789645

Least Common Multiple (LCM) of 52341 and 52345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52341 and 52345. First we will calculate the prime factors of 52341 and 52345.

Prime Factorization of 52341

Prime Factorization of 52345

Now multiplying the highest exponent prime factors to calculate the LCM of 52341 and 52345.

LCM(52341,52345) = 3¹ × 73¹ × 239¹ × 5¹ × 19² × 29¹
LCM(52341,52345) = 2739789645