What is the Least Common Multiple of 23749 and 23755?

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 23749 and 23755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23749 and 23755, than apply into the LCM equation.

GCF(23749,23755) = 1
LCM(23749,23755) = ( 23749 × 23755) / 1
LCM(23749,23755) = 564157495 / 1
LCM(23749,23755) = 564157495

Least Common Multiple (LCM) of 23749 and 23755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23749 and 23755. First we will calculate the prime factors of 23749 and 23755.

Prime Factorization of 23749

Prime Factorization of 23755

Now multiplying the highest exponent prime factors to calculate the LCM of 23749 and 23755.

LCM(23749,23755) = 11¹ × 17¹ × 127¹ × 5¹ × 4751¹
LCM(23749,23755) = 564157495