What is the Least Common Multiple of 3200 and 3207?

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 3207 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 3207, than apply into the LCM equation.

GCF(3200,3207) = 1
LCM(3200,3207) = ( 3200 × 3207) / 1
LCM(3200,3207) = 10262400 / 1
LCM(3200,3207) = 10262400

Least Common Multiple (LCM) of 3200 and 3207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3200 and 3207. First we will calculate the prime factors of 3200 and 3207.

Prime Factorization of 3200

Prime Factorization of 3207

Now multiplying the highest exponent prime factors to calculate the LCM of 3200 and 3207.

LCM(3200,3207) = 2⁷ × 5² × 3¹ × 1069¹
LCM(3200,3207) = 10262400