What is the Least Common Multiple of 75810 and 75825?

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 75810 and 75825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75810 and 75825, than apply into the LCM equation.

GCF(75810,75825) = 15
LCM(75810,75825) = ( 75810 × 75825) / 15
LCM(75810,75825) = 5748293250 / 15
LCM(75810,75825) = 383219550

Least Common Multiple (LCM) of 75810 and 75825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75810 and 75825. First we will calculate the prime factors of 75810 and 75825.

Prime Factorization of 75810

Prime Factorization of 75825

Now multiplying the highest exponent prime factors to calculate the LCM of 75810 and 75825.

LCM(75810,75825) = 2¹ × 3² × 5² × 7¹ × 19² × 337¹
LCM(75810,75825) = 383219550