What is the Least Common Multiple of 23905 and 23916?

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 23905 and 23916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23905 and 23916, than apply into the LCM equation.

GCF(23905,23916) = 1
LCM(23905,23916) = ( 23905 × 23916) / 1
LCM(23905,23916) = 571711980 / 1
LCM(23905,23916) = 571711980

Least Common Multiple (LCM) of 23905 and 23916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23905 and 23916. First we will calculate the prime factors of 23905 and 23916.

Prime Factorization of 23905

Prime Factorization of 23916

Now multiplying the highest exponent prime factors to calculate the LCM of 23905 and 23916.

LCM(23905,23916) = 5¹ × 7¹ × 683¹ × 2² × 3¹ × 1993¹
LCM(23905,23916) = 571711980