What is the Least Common Multiple of 80889 and 80896?

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 80889 and 80896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80889 and 80896, than apply into the LCM equation.

GCF(80889,80896) = 1
LCM(80889,80896) = ( 80889 × 80896) / 1
LCM(80889,80896) = 6543596544 / 1
LCM(80889,80896) = 6543596544

Least Common Multiple (LCM) of 80889 and 80896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80889 and 80896. First we will calculate the prime factors of 80889 and 80896.

Prime Factorization of 80889

Prime Factorization of 80896

Now multiplying the highest exponent prime factors to calculate the LCM of 80889 and 80896.

LCM(80889,80896) = 3¹ × 59¹ × 457¹ × 2¹⁰ × 79¹
LCM(80889,80896) = 6543596544