What is the Least Common Multiple of 80409 and 80416?

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 80409 and 80416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80409 and 80416, than apply into the LCM equation.

GCF(80409,80416) = 7
LCM(80409,80416) = ( 80409 × 80416) / 7
LCM(80409,80416) = 6466170144 / 7
LCM(80409,80416) = 923738592

Least Common Multiple (LCM) of 80409 and 80416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80409 and 80416. First we will calculate the prime factors of 80409 and 80416.

Prime Factorization of 80409

Prime Factorization of 80416

Now multiplying the highest exponent prime factors to calculate the LCM of 80409 and 80416.

LCM(80409,80416) = 3¹ × 7² × 547¹ × 2⁵ × 359¹
LCM(80409,80416) = 923738592