What is the Least Common Multiple of 72454 and 72471?

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 72454 and 72471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72454 and 72471, than apply into the LCM equation.

GCF(72454,72471) = 17
LCM(72454,72471) = ( 72454 × 72471) / 17
LCM(72454,72471) = 5250813834 / 17
LCM(72454,72471) = 308871402

Least Common Multiple (LCM) of 72454 and 72471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72454 and 72471. First we will calculate the prime factors of 72454 and 72471.

Prime Factorization of 72454

Prime Factorization of 72471

Now multiplying the highest exponent prime factors to calculate the LCM of 72454 and 72471.

LCM(72454,72471) = 2¹ × 17¹ × 2131¹ × 3¹ × 7² × 29¹
LCM(72454,72471) = 308871402