What is the Least Common Multiple of 43208 and 43219?

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 43208 and 43219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43208 and 43219, than apply into the LCM equation.

GCF(43208,43219) = 11
LCM(43208,43219) = ( 43208 × 43219) / 11
LCM(43208,43219) = 1867406552 / 11
LCM(43208,43219) = 169764232

Least Common Multiple (LCM) of 43208 and 43219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43208 and 43219. First we will calculate the prime factors of 43208 and 43219.

Prime Factorization of 43208

Prime Factorization of 43219

Now multiplying the highest exponent prime factors to calculate the LCM of 43208 and 43219.

LCM(43208,43219) = 2³ × 11¹ × 491¹ × 3929¹
LCM(43208,43219) = 169764232