What is the Least Common Multiple of 80409 and 80424?

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 80424 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 80424, than apply into the LCM equation.

GCF(80409,80424) = 3
LCM(80409,80424) = ( 80409 × 80424) / 3
LCM(80409,80424) = 6466813416 / 3
LCM(80409,80424) = 2155604472

Least Common Multiple (LCM) of 80409 and 80424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80409 and 80424. First we will calculate the prime factors of 80409 and 80424.

Prime Factorization of 80409

Prime Factorization of 80424

Now multiplying the highest exponent prime factors to calculate the LCM of 80409 and 80424.

LCM(80409,80424) = 3² × 7² × 547¹ × 2³ × 1117¹
LCM(80409,80424) = 2155604472