What is the Least Common Multiple of 80180 and 80199?

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 80180 and 80199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80180 and 80199, than apply into the LCM equation.

GCF(80180,80199) = 19
LCM(80180,80199) = ( 80180 × 80199) / 19
LCM(80180,80199) = 6430355820 / 19
LCM(80180,80199) = 338439780

Least Common Multiple (LCM) of 80180 and 80199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80180 and 80199. First we will calculate the prime factors of 80180 and 80199.

Prime Factorization of 80180

Prime Factorization of 80199

Now multiplying the highest exponent prime factors to calculate the LCM of 80180 and 80199.

LCM(80180,80199) = 2² × 5¹ × 19¹ × 211¹ × 3² × 7¹ × 67¹
LCM(80180,80199) = 338439780