What is the Least Common Multiple of 72496 and 72510?

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 72496 and 72510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72496 and 72510, than apply into the LCM equation.

GCF(72496,72510) = 2
LCM(72496,72510) = ( 72496 × 72510) / 2
LCM(72496,72510) = 5256684960 / 2
LCM(72496,72510) = 2628342480

Least Common Multiple (LCM) of 72496 and 72510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72496 and 72510. First we will calculate the prime factors of 72496 and 72510.

Prime Factorization of 72496

Prime Factorization of 72510

Now multiplying the highest exponent prime factors to calculate the LCM of 72496 and 72510.

LCM(72496,72510) = 2⁴ × 23¹ × 197¹ × 3¹ × 5¹ × 2417¹
LCM(72496,72510) = 2628342480