What is the Least Common Multiple of 23040 and 23049?

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 23040 and 23049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23040 and 23049, than apply into the LCM equation.

GCF(23040,23049) = 9
LCM(23040,23049) = ( 23040 × 23049) / 9
LCM(23040,23049) = 531048960 / 9
LCM(23040,23049) = 59005440

Least Common Multiple (LCM) of 23040 and 23049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23040 and 23049. First we will calculate the prime factors of 23040 and 23049.

Prime Factorization of 23040

Prime Factorization of 23049

Now multiplying the highest exponent prime factors to calculate the LCM of 23040 and 23049.

LCM(23040,23049) = 2⁹ × 3² × 5¹ × 13¹ × 197¹
LCM(23040,23049) = 59005440