What is the Least Common Multiple of 72830 and 72849?

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 72830 and 72849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72830 and 72849, than apply into the LCM equation.

GCF(72830,72849) = 1
LCM(72830,72849) = ( 72830 × 72849) / 1
LCM(72830,72849) = 5305592670 / 1
LCM(72830,72849) = 5305592670

Least Common Multiple (LCM) of 72830 and 72849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72830 and 72849. First we will calculate the prime factors of 72830 and 72849.

Prime Factorization of 72830

Prime Factorization of 72849

Now multiplying the highest exponent prime factors to calculate the LCM of 72830 and 72849.

LCM(72830,72849) = 2¹ × 5¹ × 7283¹ × 3¹ × 7¹ × 3469¹
LCM(72830,72849) = 5305592670