What is the Least Common Multiple of 39117 and 39129?

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 39117 and 39129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39117 and 39129, than apply into the LCM equation.

GCF(39117,39129) = 3
LCM(39117,39129) = ( 39117 × 39129) / 3
LCM(39117,39129) = 1530609093 / 3
LCM(39117,39129) = 510203031

Least Common Multiple (LCM) of 39117 and 39129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39117 and 39129. First we will calculate the prime factors of 39117 and 39129.

Prime Factorization of 39117

Prime Factorization of 39129

Now multiplying the highest exponent prime factors to calculate the LCM of 39117 and 39129.

LCM(39117,39129) = 3¹ × 13¹ × 17¹ × 59¹ × 13043¹
LCM(39117,39129) = 510203031