What is the Least Common Multiple of 8449 and 8456?

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 8449 and 8456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8449 and 8456, than apply into the LCM equation.

GCF(8449,8456) = 7
LCM(8449,8456) = ( 8449 × 8456) / 7
LCM(8449,8456) = 71444744 / 7
LCM(8449,8456) = 10206392

Least Common Multiple (LCM) of 8449 and 8456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8449 and 8456. First we will calculate the prime factors of 8449 and 8456.

Prime Factorization of 8449

Prime Factorization of 8456

Now multiplying the highest exponent prime factors to calculate the LCM of 8449 and 8456.

LCM(8449,8456) = 7¹ × 17¹ × 71¹ × 2³ × 151¹
LCM(8449,8456) = 10206392