What is the Least Common Multiple of 23914 and 23929?

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 23914 and 23929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23914 and 23929, than apply into the LCM equation.

GCF(23914,23929) = 1
LCM(23914,23929) = ( 23914 × 23929) / 1
LCM(23914,23929) = 572238106 / 1
LCM(23914,23929) = 572238106

Least Common Multiple (LCM) of 23914 and 23929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23914 and 23929. First we will calculate the prime factors of 23914 and 23929.

Prime Factorization of 23914

Prime Factorization of 23929

Now multiplying the highest exponent prime factors to calculate the LCM of 23914 and 23929.

LCM(23914,23929) = 2¹ × 11¹ × 1087¹ × 23929¹
LCM(23914,23929) = 572238106