What is the Least Common Multiple of 72704 and 72714?

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 72704 and 72714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72704 and 72714, than apply into the LCM equation.

GCF(72704,72714) = 2
LCM(72704,72714) = ( 72704 × 72714) / 2
LCM(72704,72714) = 5286598656 / 2
LCM(72704,72714) = 2643299328

Least Common Multiple (LCM) of 72704 and 72714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72704 and 72714. First we will calculate the prime factors of 72704 and 72714.

Prime Factorization of 72704

Prime Factorization of 72714

Now multiplying the highest exponent prime factors to calculate the LCM of 72704 and 72714.

LCM(72704,72714) = 2¹⁰ × 71¹ × 3¹ × 12119¹
LCM(72704,72714) = 2643299328