What is the Least Common Multiple of 75578 and 75596?

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 75596 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 75596, than apply into the LCM equation.

GCF(75578,75596) = 2
LCM(75578,75596) = ( 75578 × 75596) / 2
LCM(75578,75596) = 5713394488 / 2
LCM(75578,75596) = 2856697244

Least Common Multiple (LCM) of 75578 and 75596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75578 and 75596. First we will calculate the prime factors of 75578 and 75596.

Prime Factorization of 75578

Prime Factorization of 75596

Now multiplying the highest exponent prime factors to calculate the LCM of 75578 and 75596.

LCM(75578,75596) = 2² × 23¹ × 31¹ × 53¹ × 18899¹
LCM(75578,75596) = 2856697244