What is the Least Common Multiple of 23894 and 23905?

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 23894 and 23905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23894 and 23905, than apply into the LCM equation.

GCF(23894,23905) = 1
LCM(23894,23905) = ( 23894 × 23905) / 1
LCM(23894,23905) = 571186070 / 1
LCM(23894,23905) = 571186070

Least Common Multiple (LCM) of 23894 and 23905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23894 and 23905. First we will calculate the prime factors of 23894 and 23905.

Prime Factorization of 23894

Prime Factorization of 23905

Now multiplying the highest exponent prime factors to calculate the LCM of 23894 and 23905.

LCM(23894,23905) = 2¹ × 13¹ × 919¹ × 5¹ × 7¹ × 683¹
LCM(23894,23905) = 571186070