What is the Least Common Multiple of 75999 and 76008?

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 75999 and 76008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75999 and 76008, than apply into the LCM equation.

GCF(75999,76008) = 3
LCM(75999,76008) = ( 75999 × 76008) / 3
LCM(75999,76008) = 5776531992 / 3
LCM(75999,76008) = 1925510664

Least Common Multiple (LCM) of 75999 and 76008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75999 and 76008. First we will calculate the prime factors of 75999 and 76008.

Prime Factorization of 75999

Prime Factorization of 76008

Now multiplying the highest exponent prime factors to calculate the LCM of 75999 and 76008.

LCM(75999,76008) = 3¹ × 7² × 11¹ × 47¹ × 2³ × 3167¹
LCM(75999,76008) = 1925510664