What is the Least Common Multiple of 11890 and 11905?

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 11890 and 11905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11890 and 11905, than apply into the LCM equation.

GCF(11890,11905) = 5
LCM(11890,11905) = ( 11890 × 11905) / 5
LCM(11890,11905) = 141550450 / 5
LCM(11890,11905) = 28310090

Least Common Multiple (LCM) of 11890 and 11905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11890 and 11905. First we will calculate the prime factors of 11890 and 11905.

Prime Factorization of 11890

Prime Factorization of 11905

Now multiplying the highest exponent prime factors to calculate the LCM of 11890 and 11905.

LCM(11890,11905) = 2¹ × 5¹ × 29¹ × 41¹ × 2381¹
LCM(11890,11905) = 28310090