What is the Least Common Multiple of 11798 and 11815?

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 11798 and 11815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11798 and 11815, than apply into the LCM equation.

GCF(11798,11815) = 17
LCM(11798,11815) = ( 11798 × 11815) / 17
LCM(11798,11815) = 139393370 / 17
LCM(11798,11815) = 8199610

Least Common Multiple (LCM) of 11798 and 11815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11798 and 11815. First we will calculate the prime factors of 11798 and 11815.

Prime Factorization of 11798

Prime Factorization of 11815

Now multiplying the highest exponent prime factors to calculate the LCM of 11798 and 11815.

LCM(11798,11815) = 2¹ × 17¹ × 347¹ × 5¹ × 139¹
LCM(11798,11815) = 8199610