What is the Least Common Multiple of 81511 and 81519?

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 81511 and 81519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81511 and 81519, than apply into the LCM equation.

GCF(81511,81519) = 1
LCM(81511,81519) = ( 81511 × 81519) / 1
LCM(81511,81519) = 6644695209 / 1
LCM(81511,81519) = 6644695209

Least Common Multiple (LCM) of 81511 and 81519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81511 and 81519. First we will calculate the prime factors of 81511 and 81519.

Prime Factorization of 81511

Prime Factorization of 81519

Now multiplying the highest exponent prime factors to calculate the LCM of 81511 and 81519.

LCM(81511,81519) = 37¹ × 2203¹ × 3¹ × 29¹ × 937¹
LCM(81511,81519) = 6644695209