What is the Least Common Multiple of 23049 and 23064?

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 23049 and 23064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23049 and 23064, than apply into the LCM equation.

GCF(23049,23064) = 3
LCM(23049,23064) = ( 23049 × 23064) / 3
LCM(23049,23064) = 531602136 / 3
LCM(23049,23064) = 177200712

Least Common Multiple (LCM) of 23049 and 23064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23049 and 23064. First we will calculate the prime factors of 23049 and 23064.

Prime Factorization of 23049

Prime Factorization of 23064

Now multiplying the highest exponent prime factors to calculate the LCM of 23049 and 23064.

LCM(23049,23064) = 3² × 13¹ × 197¹ × 2³ × 31²
LCM(23049,23064) = 177200712