What is the Least Common Multiple of 80214 and 80223?

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 80214 and 80223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80214 and 80223, than apply into the LCM equation.

GCF(80214,80223) = 3
LCM(80214,80223) = ( 80214 × 80223) / 3
LCM(80214,80223) = 6435007722 / 3
LCM(80214,80223) = 2145002574

Least Common Multiple (LCM) of 80214 and 80223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80214 and 80223. First we will calculate the prime factors of 80214 and 80223.

Prime Factorization of 80214

Prime Factorization of 80223

Now multiplying the highest exponent prime factors to calculate the LCM of 80214 and 80223.

LCM(80214,80223) = 2¹ × 3¹ × 29¹ × 461¹ × 11² × 13¹ × 17¹
LCM(80214,80223) = 2145002574