What is the Least Common Multiple of 23894 and 23901?

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 23901 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 23901, than apply into the LCM equation.

GCF(23894,23901) = 1
LCM(23894,23901) = ( 23894 × 23901) / 1
LCM(23894,23901) = 571090494 / 1
LCM(23894,23901) = 571090494

Least Common Multiple (LCM) of 23894 and 23901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23894 and 23901. First we will calculate the prime factors of 23894 and 23901.

Prime Factorization of 23894

Prime Factorization of 23901

Now multiplying the highest exponent prime factors to calculate the LCM of 23894 and 23901.

LCM(23894,23901) = 2¹ × 13¹ × 919¹ × 3¹ × 31¹ × 257¹
LCM(23894,23901) = 571090494