What is the Least Common Multiple of 75578 and 75582?

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 75578 and 75582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75578 and 75582, than apply into the LCM equation.

GCF(75578,75582) = 2
LCM(75578,75582) = ( 75578 × 75582) / 2
LCM(75578,75582) = 5712336396 / 2
LCM(75578,75582) = 2856168198

Least Common Multiple (LCM) of 75578 and 75582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75578 and 75582. First we will calculate the prime factors of 75578 and 75582.

Prime Factorization of 75578

Prime Factorization of 75582

Now multiplying the highest exponent prime factors to calculate the LCM of 75578 and 75582.

LCM(75578,75582) = 2¹ × 23¹ × 31¹ × 53¹ × 3² × 13¹ × 17¹ × 19¹
LCM(75578,75582) = 2856168198