What is the Least Common Multiple of 75369 and 75375?

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 75369 and 75375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75369 and 75375, than apply into the LCM equation.

GCF(75369,75375) = 3
LCM(75369,75375) = ( 75369 × 75375) / 3
LCM(75369,75375) = 5680938375 / 3
LCM(75369,75375) = 1893646125

Least Common Multiple (LCM) of 75369 and 75375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75369 and 75375. First we will calculate the prime factors of 75369 and 75375.

Prime Factorization of 75369

Prime Factorization of 75375

Now multiplying the highest exponent prime factors to calculate the LCM of 75369 and 75375.

LCM(75369,75375) = 3² × 7¹ × 37¹ × 97¹ × 5³ × 67¹
LCM(75369,75375) = 1893646125