What is the Least Common Multiple of 72690 and 72704?

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 72690 and 72704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72690 and 72704, than apply into the LCM equation.

GCF(72690,72704) = 2
LCM(72690,72704) = ( 72690 × 72704) / 2
LCM(72690,72704) = 5284853760 / 2
LCM(72690,72704) = 2642426880

Least Common Multiple (LCM) of 72690 and 72704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72690 and 72704. First we will calculate the prime factors of 72690 and 72704.

Prime Factorization of 72690

Prime Factorization of 72704

Now multiplying the highest exponent prime factors to calculate the LCM of 72690 and 72704.

LCM(72690,72704) = 2¹⁰ × 3¹ × 5¹ × 2423¹ × 71¹
LCM(72690,72704) = 2642426880