What is the Least Common Multiple of 80208 and 80214?

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 80208 and 80214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80208 and 80214, than apply into the LCM equation.

GCF(80208,80214) = 6
LCM(80208,80214) = ( 80208 × 80214) / 6
LCM(80208,80214) = 6433804512 / 6
LCM(80208,80214) = 1072300752

Least Common Multiple (LCM) of 80208 and 80214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80208 and 80214. First we will calculate the prime factors of 80208 and 80214.

Prime Factorization of 80208

Prime Factorization of 80214

Now multiplying the highest exponent prime factors to calculate the LCM of 80208 and 80214.

LCM(80208,80214) = 2⁴ × 3² × 557¹ × 29¹ × 461¹
LCM(80208,80214) = 1072300752