GCF and LCM Calculator Logo

What is the Least Common Multiple of 3210 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 (LCM) of 3210 and 3218 is 5164890.

LCM(3210,3218) = 5164890

LCM Calculator and
and

Least Common Multiple of 3210 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 3210 and 3218, than apply into the LCM equation.

GCF(3210,3218) = 2
LCM(3210,3218) = ( 3210 × 3218) / 2
LCM(3210,3218) = 10329780 / 2
LCM(3210,3218) = 5164890

Least Common Multiple (LCM) of 3210 and 3218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3210 and 3218. First we will calculate the prime factors of 3210 and 3218.

Prime Factorization of 3210

Prime factors of 3210 are 2, 3, 5, 107. Prime factorization of 3210 in exponential form is:

3210 = 21 × 31 × 51 × 1071

Prime Factorization of 3218

Prime factors of 3218 are 2, 1609. Prime factorization of 3218 in exponential form is:

3218 = 21 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 3210 and 3218.

LCM(3210,3218) = 21 × 31 × 51 × 1071 × 16091
LCM(3210,3218) = 5164890