What is the Least Common Multiple of 75708 and 75716?

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 75708 and 75716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75708 and 75716, than apply into the LCM equation.

GCF(75708,75716) = 4
LCM(75708,75716) = ( 75708 × 75716) / 4
LCM(75708,75716) = 5732306928 / 4
LCM(75708,75716) = 1433076732

Least Common Multiple (LCM) of 75708 and 75716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75708 and 75716. First we will calculate the prime factors of 75708 and 75716.

Prime Factorization of 75708

Prime Factorization of 75716

Now multiplying the highest exponent prime factors to calculate the LCM of 75708 and 75716.

LCM(75708,75716) = 2² × 3³ × 701¹ × 23¹ × 823¹
LCM(75708,75716) = 1433076732