What is the Least Common Multiple of 80990 and 81005?

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 80990 and 81005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80990 and 81005, than apply into the LCM equation.

GCF(80990,81005) = 5
LCM(80990,81005) = ( 80990 × 81005) / 5
LCM(80990,81005) = 6560594950 / 5
LCM(80990,81005) = 1312118990

Least Common Multiple (LCM) of 80990 and 81005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80990 and 81005. First we will calculate the prime factors of 80990 and 81005.

Prime Factorization of 80990

Prime Factorization of 81005

Now multiplying the highest exponent prime factors to calculate the LCM of 80990 and 81005.

LCM(80990,81005) = 2¹ × 5¹ × 7¹ × 13¹ × 89¹ × 17¹ × 953¹
LCM(80990,81005) = 1312118990