What is the Least Common Multiple of 23930 and 23949?

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 23930 and 23949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23930 and 23949, than apply into the LCM equation.

GCF(23930,23949) = 1
LCM(23930,23949) = ( 23930 × 23949) / 1
LCM(23930,23949) = 573099570 / 1
LCM(23930,23949) = 573099570

Least Common Multiple (LCM) of 23930 and 23949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23930 and 23949. First we will calculate the prime factors of 23930 and 23949.

Prime Factorization of 23930

Prime Factorization of 23949

Now multiplying the highest exponent prime factors to calculate the LCM of 23930 and 23949.

LCM(23930,23949) = 2¹ × 5¹ × 2393¹ × 3³ × 887¹
LCM(23930,23949) = 573099570