What is the Least Common Multiple of 82454 and 82469?

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 82454 and 82469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82454 and 82469, than apply into the LCM equation.

GCF(82454,82469) = 1
LCM(82454,82469) = ( 82454 × 82469) / 1
LCM(82454,82469) = 6799898926 / 1
LCM(82454,82469) = 6799898926

Least Common Multiple (LCM) of 82454 and 82469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82454 and 82469. First we will calculate the prime factors of 82454 and 82469.

Prime Factorization of 82454

Prime Factorization of 82469

Now multiplying the highest exponent prime factors to calculate the LCM of 82454 and 82469.

LCM(82454,82469) = 2¹ × 41227¹ × 82469¹
LCM(82454,82469) = 6799898926