What is the Least Common Multiple of 23048 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 23048 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 23048 and 23064, than apply into the LCM equation.

GCF(23048,23064) = 8
LCM(23048,23064) = ( 23048 × 23064) / 8
LCM(23048,23064) = 531579072 / 8
LCM(23048,23064) = 66447384

Least Common Multiple (LCM) of 23048 and 23064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23048 and 23064. First we will calculate the prime factors of 23048 and 23064.

Prime Factorization of 23048

Prime Factorization of 23064

Now multiplying the highest exponent prime factors to calculate the LCM of 23048 and 23064.

LCM(23048,23064) = 2³ × 43¹ × 67¹ × 3¹ × 31²
LCM(23048,23064) = 66447384