What is the Least Common Multiple of 23634 and 23649?

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 23634 and 23649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23634 and 23649, than apply into the LCM equation.

GCF(23634,23649) = 3
LCM(23634,23649) = ( 23634 × 23649) / 3
LCM(23634,23649) = 558920466 / 3
LCM(23634,23649) = 186306822

Least Common Multiple (LCM) of 23634 and 23649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23634 and 23649. First we will calculate the prime factors of 23634 and 23649.

Prime Factorization of 23634

Prime Factorization of 23649

Now multiplying the highest exponent prime factors to calculate the LCM of 23634 and 23649.

LCM(23634,23649) = 2¹ × 3² × 13¹ × 101¹ × 7883¹
LCM(23634,23649) = 186306822