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What is the Least Common Multiple of 4212 and 4216?

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 4212 and 4216 is 4439448.

LCM(4212,4216) = 4439448

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Least Common Multiple of 4212 and 4216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4212 and 4216, than apply into the LCM equation.

GCF(4212,4216) = 4
LCM(4212,4216) = ( 4212 × 4216) / 4
LCM(4212,4216) = 17757792 / 4
LCM(4212,4216) = 4439448

Least Common Multiple (LCM) of 4212 and 4216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4212 and 4216. First we will calculate the prime factors of 4212 and 4216.

Prime Factorization of 4212

Prime factors of 4212 are 2, 3, 13. Prime factorization of 4212 in exponential form is:

4212 = 22 × 34 × 131

Prime Factorization of 4216

Prime factors of 4216 are 2, 17, 31. Prime factorization of 4216 in exponential form is:

4216 = 23 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 4212 and 4216.

LCM(4212,4216) = 23 × 34 × 131 × 171 × 311
LCM(4212,4216) = 4439448