What is the Least Common Multiple of 80886 and 80903?

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 80886 and 80903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80886 and 80903, than apply into the LCM equation.

GCF(80886,80903) = 17
LCM(80886,80903) = ( 80886 × 80903) / 17
LCM(80886,80903) = 6543920058 / 17
LCM(80886,80903) = 384936474

Least Common Multiple (LCM) of 80886 and 80903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80886 and 80903. First we will calculate the prime factors of 80886 and 80903.

Prime Factorization of 80886

Prime Factorization of 80903

Now multiplying the highest exponent prime factors to calculate the LCM of 80886 and 80903.

LCM(80886,80903) = 2¹ × 3¹ × 13¹ × 17¹ × 61¹ × 4759¹
LCM(80886,80903) = 384936474