What is the Least Common Multiple of 8440 and 8454?

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 8440 and 8454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8440 and 8454, than apply into the LCM equation.

GCF(8440,8454) = 2
LCM(8440,8454) = ( 8440 × 8454) / 2
LCM(8440,8454) = 71351760 / 2
LCM(8440,8454) = 35675880

Least Common Multiple (LCM) of 8440 and 8454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8440 and 8454. First we will calculate the prime factors of 8440 and 8454.

Prime Factorization of 8440

Prime Factorization of 8454

Now multiplying the highest exponent prime factors to calculate the LCM of 8440 and 8454.

LCM(8440,8454) = 2³ × 5¹ × 211¹ × 3¹ × 1409¹
LCM(8440,8454) = 35675880