What is the Least Common Multiple of 3200 and 3218?

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 3200 and 3218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3200 and 3218, than apply into the LCM equation.

GCF(3200,3218) = 2
LCM(3200,3218) = ( 3200 × 3218) / 2
LCM(3200,3218) = 10297600 / 2
LCM(3200,3218) = 5148800

Least Common Multiple (LCM) of 3200 and 3218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3200 and 3218. First we will calculate the prime factors of 3200 and 3218.

Prime Factorization of 3200

Prime Factorization of 3218

Now multiplying the highest exponent prime factors to calculate the LCM of 3200 and 3218.

LCM(3200,3218) = 2⁷ × 5² × 1609¹
LCM(3200,3218) = 5148800