What is the Least Common Multiple of 80053 and 80069?

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 80053 and 80069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80053 and 80069, than apply into the LCM equation.

GCF(80053,80069) = 1
LCM(80053,80069) = ( 80053 × 80069) / 1
LCM(80053,80069) = 6409763657 / 1
LCM(80053,80069) = 6409763657

Least Common Multiple (LCM) of 80053 and 80069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80053 and 80069. First we will calculate the prime factors of 80053 and 80069.

Prime Factorization of 80053

Prime Factorization of 80069

Now multiplying the highest exponent prime factors to calculate the LCM of 80053 and 80069.

LCM(80053,80069) = 17² × 277¹ × 11¹ × 29¹ × 251¹
LCM(80053,80069) = 6409763657