What is the Least Common Multiple of 75555 and 75575?

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 75555 and 75575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75555 and 75575, than apply into the LCM equation.

GCF(75555,75575) = 5
LCM(75555,75575) = ( 75555 × 75575) / 5
LCM(75555,75575) = 5710069125 / 5
LCM(75555,75575) = 1142013825

Least Common Multiple (LCM) of 75555 and 75575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75555 and 75575. First we will calculate the prime factors of 75555 and 75575.

Prime Factorization of 75555

Prime Factorization of 75575

Now multiplying the highest exponent prime factors to calculate the LCM of 75555 and 75575.

LCM(75555,75575) = 3² × 5² × 23¹ × 73¹ × 3023¹
LCM(75555,75575) = 1142013825