What is the Least Common Multiple of 24539 and 24546?

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 24539 and 24546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24539 and 24546, than apply into the LCM equation.

GCF(24539,24546) = 1
LCM(24539,24546) = ( 24539 × 24546) / 1
LCM(24539,24546) = 602334294 / 1
LCM(24539,24546) = 602334294

Least Common Multiple (LCM) of 24539 and 24546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24539 and 24546. First we will calculate the prime factors of 24539 and 24546.

Prime Factorization of 24539

Prime Factorization of 24546

Now multiplying the highest exponent prime factors to calculate the LCM of 24539 and 24546.

LCM(24539,24546) = 53¹ × 463¹ × 2¹ × 3¹ × 4091¹
LCM(24539,24546) = 602334294