What is the Least Common Multiple of 11705 and 11720?

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 11705 and 11720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11705 and 11720, than apply into the LCM equation.

GCF(11705,11720) = 5
LCM(11705,11720) = ( 11705 × 11720) / 5
LCM(11705,11720) = 137182600 / 5
LCM(11705,11720) = 27436520

Least Common Multiple (LCM) of 11705 and 11720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11705 and 11720. First we will calculate the prime factors of 11705 and 11720.

Prime Factorization of 11705

Prime Factorization of 11720

Now multiplying the highest exponent prime factors to calculate the LCM of 11705 and 11720.

LCM(11705,11720) = 5¹ × 2341¹ × 2³ × 293¹
LCM(11705,11720) = 27436520