What is the Least Common Multiple of 23913 and 23926?

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 23913 and 23926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23913 and 23926, than apply into the LCM equation.

GCF(23913,23926) = 1
LCM(23913,23926) = ( 23913 × 23926) / 1
LCM(23913,23926) = 572142438 / 1
LCM(23913,23926) = 572142438

Least Common Multiple (LCM) of 23913 and 23926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23913 and 23926. First we will calculate the prime factors of 23913 and 23926.

Prime Factorization of 23913

Prime Factorization of 23926

Now multiplying the highest exponent prime factors to calculate the LCM of 23913 and 23926.

LCM(23913,23926) = 3² × 2657¹ × 2¹ × 7¹ × 1709¹
LCM(23913,23926) = 572142438