What is the Least Common Multiple of 27027 and 27041?

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 27027 and 27041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27027 and 27041, than apply into the LCM equation.

GCF(27027,27041) = 7
LCM(27027,27041) = ( 27027 × 27041) / 7
LCM(27027,27041) = 730837107 / 7
LCM(27027,27041) = 104405301

Least Common Multiple (LCM) of 27027 and 27041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27027 and 27041. First we will calculate the prime factors of 27027 and 27041.

Prime Factorization of 27027

Prime Factorization of 27041

Now multiplying the highest exponent prime factors to calculate the LCM of 27027 and 27041.

LCM(27027,27041) = 3³ × 7¹ × 11¹ × 13¹ × 3863¹
LCM(27027,27041) = 104405301