What is the Least Common Multiple of 23921 and 23932?

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 23921 and 23932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23921 and 23932, than apply into the LCM equation.

GCF(23921,23932) = 1
LCM(23921,23932) = ( 23921 × 23932) / 1
LCM(23921,23932) = 572477372 / 1
LCM(23921,23932) = 572477372

Least Common Multiple (LCM) of 23921 and 23932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23921 and 23932. First we will calculate the prime factors of 23921 and 23932.

Prime Factorization of 23921

Prime Factorization of 23932

Now multiplying the highest exponent prime factors to calculate the LCM of 23921 and 23932.

LCM(23921,23932) = 19¹ × 1259¹ × 2² × 31¹ × 193¹
LCM(23921,23932) = 572477372