What is the Least Common Multiple of 23545 and 23554?

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 23545 and 23554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23545 and 23554, than apply into the LCM equation.

GCF(23545,23554) = 1
LCM(23545,23554) = ( 23545 × 23554) / 1
LCM(23545,23554) = 554578930 / 1
LCM(23545,23554) = 554578930

Least Common Multiple (LCM) of 23545 and 23554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23545 and 23554. First we will calculate the prime factors of 23545 and 23554.

Prime Factorization of 23545

Prime Factorization of 23554

Now multiplying the highest exponent prime factors to calculate the LCM of 23545 and 23554.

LCM(23545,23554) = 5¹ × 17¹ × 277¹ × 2¹ × 11777¹
LCM(23545,23554) = 554578930