What is the Least Common Multiple of 3213 and 3230?

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 3213 and 3230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3213 and 3230, than apply into the LCM equation.

GCF(3213,3230) = 17
LCM(3213,3230) = ( 3213 × 3230) / 17
LCM(3213,3230) = 10377990 / 17
LCM(3213,3230) = 610470

Least Common Multiple (LCM) of 3213 and 3230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3213 and 3230. First we will calculate the prime factors of 3213 and 3230.

Prime Factorization of 3213

Prime Factorization of 3230

Now multiplying the highest exponent prime factors to calculate the LCM of 3213 and 3230.

LCM(3213,3230) = 3³ × 7¹ × 17¹ × 2¹ × 5¹ × 19¹
LCM(3213,3230) = 610470