What is the Least Common Multiple of 75909 and 75915?

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 75909 and 75915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75909 and 75915, than apply into the LCM equation.

GCF(75909,75915) = 3
LCM(75909,75915) = ( 75909 × 75915) / 3
LCM(75909,75915) = 5762631735 / 3
LCM(75909,75915) = 1920877245

Least Common Multiple (LCM) of 75909 and 75915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75909 and 75915. First we will calculate the prime factors of 75909 and 75915.

Prime Factorization of 75909

Prime Factorization of 75915

Now multiplying the highest exponent prime factors to calculate the LCM of 75909 and 75915.

LCM(75909,75915) = 3² × 25303¹ × 5¹ × 7¹ × 241¹
LCM(75909,75915) = 1920877245