What is the Least Common Multiple of 29124 and 29129?

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 29124 and 29129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29124 and 29129, than apply into the LCM equation.

GCF(29124,29129) = 1
LCM(29124,29129) = ( 29124 × 29129) / 1
LCM(29124,29129) = 848352996 / 1
LCM(29124,29129) = 848352996

Least Common Multiple (LCM) of 29124 and 29129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29124 and 29129. First we will calculate the prime factors of 29124 and 29129.

Prime Factorization of 29124

Prime Factorization of 29129

Now multiplying the highest exponent prime factors to calculate the LCM of 29124 and 29129.

LCM(29124,29129) = 2² × 3² × 809¹ × 29129¹
LCM(29124,29129) = 848352996