What is the Least Common Multiple of 3201 and 3215?

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 3201 and 3215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3201 and 3215, than apply into the LCM equation.

GCF(3201,3215) = 1
LCM(3201,3215) = ( 3201 × 3215) / 1
LCM(3201,3215) = 10291215 / 1
LCM(3201,3215) = 10291215

Least Common Multiple (LCM) of 3201 and 3215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3201 and 3215. First we will calculate the prime factors of 3201 and 3215.

Prime Factorization of 3201

Prime Factorization of 3215

Now multiplying the highest exponent prime factors to calculate the LCM of 3201 and 3215.

LCM(3201,3215) = 3¹ × 11¹ × 97¹ × 5¹ × 643¹
LCM(3201,3215) = 10291215