What is the Least Common Multiple of 3186 and 3201?

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 3186 and 3201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3186 and 3201, than apply into the LCM equation.

GCF(3186,3201) = 3
LCM(3186,3201) = ( 3186 × 3201) / 3
LCM(3186,3201) = 10198386 / 3
LCM(3186,3201) = 3399462

Least Common Multiple (LCM) of 3186 and 3201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3186 and 3201. First we will calculate the prime factors of 3186 and 3201.

Prime Factorization of 3186

Prime Factorization of 3201

Now multiplying the highest exponent prime factors to calculate the LCM of 3186 and 3201.

LCM(3186,3201) = 2¹ × 3³ × 59¹ × 11¹ × 97¹
LCM(3186,3201) = 3399462