What is the Least Common Multiple of 75557 and 75574?

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 75557 and 75574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75557 and 75574, than apply into the LCM equation.

GCF(75557,75574) = 1
LCM(75557,75574) = ( 75557 × 75574) / 1
LCM(75557,75574) = 5710144718 / 1
LCM(75557,75574) = 5710144718

Least Common Multiple (LCM) of 75557 and 75574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75557 and 75574. First we will calculate the prime factors of 75557 and 75574.

Prime Factorization of 75557

Prime Factorization of 75574

Now multiplying the highest exponent prime factors to calculate the LCM of 75557 and 75574.

LCM(75557,75574) = 75557¹ × 2¹ × 29¹ × 1303¹
LCM(75557,75574) = 5710144718