What is the Least Common Multiple of 24576 and 24585?

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 24576 and 24585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24576 and 24585, than apply into the LCM equation.

GCF(24576,24585) = 3
LCM(24576,24585) = ( 24576 × 24585) / 3
LCM(24576,24585) = 604200960 / 3
LCM(24576,24585) = 201400320

Least Common Multiple (LCM) of 24576 and 24585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24576 and 24585. First we will calculate the prime factors of 24576 and 24585.

Prime Factorization of 24576

Prime Factorization of 24585

Now multiplying the highest exponent prime factors to calculate the LCM of 24576 and 24585.

LCM(24576,24585) = 2¹³ × 3¹ × 5¹ × 11¹ × 149¹
LCM(24576,24585) = 201400320