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What is the Least Common Multiple of 3212 and 3216?

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 3212 and 3216 is 2582448.

LCM(3212,3216) = 2582448

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Least Common Multiple of 3212 and 3216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3212 and 3216, than apply into the LCM equation.

GCF(3212,3216) = 4
LCM(3212,3216) = ( 3212 × 3216) / 4
LCM(3212,3216) = 10329792 / 4
LCM(3212,3216) = 2582448

Least Common Multiple (LCM) of 3212 and 3216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3212 and 3216. First we will calculate the prime factors of 3212 and 3216.

Prime Factorization of 3212

Prime factors of 3212 are 2, 11, 73. Prime factorization of 3212 in exponential form is:

3212 = 22 × 111 × 731

Prime Factorization of 3216

Prime factors of 3216 are 2, 3, 67. Prime factorization of 3216 in exponential form is:

3216 = 24 × 31 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 3212 and 3216.

LCM(3212,3216) = 24 × 111 × 731 × 31 × 671
LCM(3212,3216) = 2582448