What is the Least Common Multiple of 80286 and 80301?

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 80286 and 80301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80286 and 80301, than apply into the LCM equation.

GCF(80286,80301) = 3
LCM(80286,80301) = ( 80286 × 80301) / 3
LCM(80286,80301) = 6447046086 / 3
LCM(80286,80301) = 2149015362

Least Common Multiple (LCM) of 80286 and 80301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80286 and 80301. First we will calculate the prime factors of 80286 and 80301.

Prime Factorization of 80286

Prime Factorization of 80301

Now multiplying the highest exponent prime factors to calculate the LCM of 80286 and 80301.

LCM(80286,80301) = 2¹ × 3¹ × 13381¹ × 13¹ × 29¹ × 71¹
LCM(80286,80301) = 2149015362