What is the Least Common Multiple of 52443 and 52461?

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 52443 and 52461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52443 and 52461, than apply into the LCM equation.

GCF(52443,52461) = 9
LCM(52443,52461) = ( 52443 × 52461) / 9
LCM(52443,52461) = 2751212223 / 9
LCM(52443,52461) = 305690247

Least Common Multiple (LCM) of 52443 and 52461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52443 and 52461. First we will calculate the prime factors of 52443 and 52461.

Prime Factorization of 52443

Prime Factorization of 52461

Now multiplying the highest exponent prime factors to calculate the LCM of 52443 and 52461.

LCM(52443,52461) = 3³ × 5827¹ × 29¹ × 67¹
LCM(52443,52461) = 305690247