What is the Least Common Multiple of 80200 and 80219?

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 80200 and 80219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80200 and 80219, than apply into the LCM equation.

GCF(80200,80219) = 1
LCM(80200,80219) = ( 80200 × 80219) / 1
LCM(80200,80219) = 6433563800 / 1
LCM(80200,80219) = 6433563800

Least Common Multiple (LCM) of 80200 and 80219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80200 and 80219. First we will calculate the prime factors of 80200 and 80219.

Prime Factorization of 80200

Prime Factorization of 80219

Now multiplying the highest exponent prime factors to calculate the LCM of 80200 and 80219.

LCM(80200,80219) = 2³ × 5² × 401¹ × 97¹ × 827¹
LCM(80200,80219) = 6433563800