What is the Least Common Multiple of 8454 and 8474?

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 8454 and 8474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8454 and 8474, than apply into the LCM equation.

GCF(8454,8474) = 2
LCM(8454,8474) = ( 8454 × 8474) / 2
LCM(8454,8474) = 71639196 / 2
LCM(8454,8474) = 35819598

Least Common Multiple (LCM) of 8454 and 8474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8454 and 8474. First we will calculate the prime factors of 8454 and 8474.

Prime Factorization of 8454

Prime Factorization of 8474

Now multiplying the highest exponent prime factors to calculate the LCM of 8454 and 8474.

LCM(8454,8474) = 2¹ × 3¹ × 1409¹ × 19¹ × 223¹
LCM(8454,8474) = 35819598