What is the Least Common Multiple of 80208 and 80228?

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 80228 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 80228, than apply into the LCM equation.

GCF(80208,80228) = 4
LCM(80208,80228) = ( 80208 × 80228) / 4
LCM(80208,80228) = 6434927424 / 4
LCM(80208,80228) = 1608731856

Least Common Multiple (LCM) of 80208 and 80228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80208 and 80228. First we will calculate the prime factors of 80208 and 80228.

Prime Factorization of 80208

Prime Factorization of 80228

Now multiplying the highest exponent prime factors to calculate the LCM of 80208 and 80228.

LCM(80208,80228) = 2⁴ × 3² × 557¹ × 31¹ × 647¹
LCM(80208,80228) = 1608731856