What is the Least Common Multiple of 75993 and 75999?

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 75993 and 75999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75993 and 75999, than apply into the LCM equation.

GCF(75993,75999) = 3
LCM(75993,75999) = ( 75993 × 75999) / 3
LCM(75993,75999) = 5775392007 / 3
LCM(75993,75999) = 1925130669

Least Common Multiple (LCM) of 75993 and 75999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75993 and 75999. First we will calculate the prime factors of 75993 and 75999.

Prime Factorization of 75993

Prime Factorization of 75999

Now multiplying the highest exponent prime factors to calculate the LCM of 75993 and 75999.

LCM(75993,75999) = 3¹ × 73¹ × 347¹ × 7² × 11¹ × 47¹
LCM(75993,75999) = 1925130669