What is the Least Common Multiple of 23890 and 23896?

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 23890 and 23896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23890 and 23896, than apply into the LCM equation.

GCF(23890,23896) = 2
LCM(23890,23896) = ( 23890 × 23896) / 2
LCM(23890,23896) = 570875440 / 2
LCM(23890,23896) = 285437720

Least Common Multiple (LCM) of 23890 and 23896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23890 and 23896. First we will calculate the prime factors of 23890 and 23896.

Prime Factorization of 23890

Prime Factorization of 23896

Now multiplying the highest exponent prime factors to calculate the LCM of 23890 and 23896.

LCM(23890,23896) = 2³ × 5¹ × 2389¹ × 29¹ × 103¹
LCM(23890,23896) = 285437720