What is the Least Common Multiple of 8454 and 8460?

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 8460 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 8460, than apply into the LCM equation.

GCF(8454,8460) = 6
LCM(8454,8460) = ( 8454 × 8460) / 6
LCM(8454,8460) = 71520840 / 6
LCM(8454,8460) = 11920140

Least Common Multiple (LCM) of 8454 and 8460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8454 and 8460. First we will calculate the prime factors of 8454 and 8460.

Prime Factorization of 8454

Prime Factorization of 8460

Now multiplying the highest exponent prime factors to calculate the LCM of 8454 and 8460.

LCM(8454,8460) = 2² × 3² × 1409¹ × 5¹ × 47¹
LCM(8454,8460) = 11920140