What is the Least Common Multiple of 27698 and 27709?

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 27698 and 27709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27698 and 27709, than apply into the LCM equation.

GCF(27698,27709) = 11
LCM(27698,27709) = ( 27698 × 27709) / 11
LCM(27698,27709) = 767483882 / 11
LCM(27698,27709) = 69771262

Least Common Multiple (LCM) of 27698 and 27709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27698 and 27709. First we will calculate the prime factors of 27698 and 27709.

Prime Factorization of 27698

Prime Factorization of 27709

Now multiplying the highest exponent prime factors to calculate the LCM of 27698 and 27709.

LCM(27698,27709) = 2¹ × 11² × 1259¹ × 229¹
LCM(27698,27709) = 69771262