What is the Least Common Multiple of 15890 and 15904?

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 15890 and 15904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15890 and 15904, than apply into the LCM equation.

GCF(15890,15904) = 14
LCM(15890,15904) = ( 15890 × 15904) / 14
LCM(15890,15904) = 252714560 / 14
LCM(15890,15904) = 18051040

Least Common Multiple (LCM) of 15890 and 15904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15890 and 15904. First we will calculate the prime factors of 15890 and 15904.

Prime Factorization of 15890

Prime Factorization of 15904

Now multiplying the highest exponent prime factors to calculate the LCM of 15890 and 15904.

LCM(15890,15904) = 2⁵ × 5¹ × 7¹ × 227¹ × 71¹
LCM(15890,15904) = 18051040