What is the Least Common Multiple of 75890 and 75904?

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 75890 and 75904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75890 and 75904, than apply into the LCM equation.

GCF(75890,75904) = 2
LCM(75890,75904) = ( 75890 × 75904) / 2
LCM(75890,75904) = 5760354560 / 2
LCM(75890,75904) = 2880177280

Least Common Multiple (LCM) of 75890 and 75904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75890 and 75904. First we will calculate the prime factors of 75890 and 75904.

Prime Factorization of 75890

Prime Factorization of 75904

Now multiplying the highest exponent prime factors to calculate the LCM of 75890 and 75904.

LCM(75890,75904) = 2⁷ × 5¹ × 7589¹ × 593¹
LCM(75890,75904) = 2880177280