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What is the Least Common Multiple of 4449 and 4466?

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 4449 and 4466 is 19869234.

LCM(4449,4466) = 19869234

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Least Common Multiple of 4449 and 4466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4449 and 4466, than apply into the LCM equation.

GCF(4449,4466) = 1
LCM(4449,4466) = ( 4449 × 4466) / 1
LCM(4449,4466) = 19869234 / 1
LCM(4449,4466) = 19869234

Least Common Multiple (LCM) of 4449 and 4466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4449 and 4466. First we will calculate the prime factors of 4449 and 4466.

Prime Factorization of 4449

Prime factors of 4449 are 3, 1483. Prime factorization of 4449 in exponential form is:

4449 = 31 × 14831

Prime Factorization of 4466

Prime factors of 4466 are 2, 7, 11, 29. Prime factorization of 4466 in exponential form is:

4466 = 21 × 71 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 4449 and 4466.

LCM(4449,4466) = 31 × 14831 × 21 × 71 × 111 × 291
LCM(4449,4466) = 19869234