What is the Least Common Multiple of 4123 and 4129?

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 4123 and 4129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4123 and 4129, than apply into the LCM equation.

GCF(4123,4129) = 1
LCM(4123,4129) = ( 4123 × 4129) / 1
LCM(4123,4129) = 17023867 / 1
LCM(4123,4129) = 17023867

Least Common Multiple (LCM) of 4123 and 4129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4123 and 4129. First we will calculate the prime factors of 4123 and 4129.

Prime Factorization of 4123

Prime Factorization of 4129

Now multiplying the highest exponent prime factors to calculate the LCM of 4123 and 4129.

LCM(4123,4129) = 7¹ × 19¹ × 31¹ × 4129¹
LCM(4123,4129) = 17023867