What is the Least Common Multiple of 27034 and 27038?

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 27034 and 27038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27034 and 27038, than apply into the LCM equation.

GCF(27034,27038) = 2
LCM(27034,27038) = ( 27034 × 27038) / 2
LCM(27034,27038) = 730945292 / 2
LCM(27034,27038) = 365472646

Least Common Multiple (LCM) of 27034 and 27038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27034 and 27038. First we will calculate the prime factors of 27034 and 27038.

Prime Factorization of 27034

Prime Factorization of 27038

Now multiplying the highest exponent prime factors to calculate the LCM of 27034 and 27038.

LCM(27034,27038) = 2¹ × 7¹ × 1931¹ × 11¹ × 1229¹
LCM(27034,27038) = 365472646