What is the Least Common Multiple of 8123 and 8143?

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 8123 and 8143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8123 and 8143, than apply into the LCM equation.

GCF(8123,8143) = 1
LCM(8123,8143) = ( 8123 × 8143) / 1
LCM(8123,8143) = 66145589 / 1
LCM(8123,8143) = 66145589

Least Common Multiple (LCM) of 8123 and 8143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8123 and 8143. First we will calculate the prime factors of 8123 and 8143.

Prime Factorization of 8123

Prime Factorization of 8143

Now multiplying the highest exponent prime factors to calculate the LCM of 8123 and 8143.

LCM(8123,8143) = 8123¹ × 17¹ × 479¹
LCM(8123,8143) = 66145589