What is the Least Common Multiple of 44208 and 44219?

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 44208 and 44219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44208 and 44219, than apply into the LCM equation.

GCF(44208,44219) = 1
LCM(44208,44219) = ( 44208 × 44219) / 1
LCM(44208,44219) = 1954833552 / 1
LCM(44208,44219) = 1954833552

Least Common Multiple (LCM) of 44208 and 44219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44208 and 44219. First we will calculate the prime factors of 44208 and 44219.

Prime Factorization of 44208

Prime Factorization of 44219

Now multiplying the highest exponent prime factors to calculate the LCM of 44208 and 44219.

LCM(44208,44219) = 2⁴ × 3² × 307¹ × 7¹ × 6317¹
LCM(44208,44219) = 1954833552