What is the Least Common Multiple of 11890 and 11895?

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 11895 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 11895, than apply into the LCM equation.

GCF(11890,11895) = 5
LCM(11890,11895) = ( 11890 × 11895) / 5
LCM(11890,11895) = 141431550 / 5
LCM(11890,11895) = 28286310

Least Common Multiple (LCM) of 11890 and 11895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11890 and 11895. First we will calculate the prime factors of 11890 and 11895.

Prime Factorization of 11890

Prime Factorization of 11895

Now multiplying the highest exponent prime factors to calculate the LCM of 11890 and 11895.

LCM(11890,11895) = 2¹ × 5¹ × 29¹ × 41¹ × 3¹ × 13¹ × 61¹
LCM(11890,11895) = 28286310