What is the Least Common Multiple of 23919 and 23936?

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 23919 and 23936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23919 and 23936, than apply into the LCM equation.

GCF(23919,23936) = 17
LCM(23919,23936) = ( 23919 × 23936) / 17
LCM(23919,23936) = 572525184 / 17
LCM(23919,23936) = 33677952

Least Common Multiple (LCM) of 23919 and 23936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23919 and 23936. First we will calculate the prime factors of 23919 and 23936.

Prime Factorization of 23919

Prime Factorization of 23936

Now multiplying the highest exponent prime factors to calculate the LCM of 23919 and 23936.

LCM(23919,23936) = 3¹ × 7¹ × 17¹ × 67¹ × 2⁷ × 11¹
LCM(23919,23936) = 33677952