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What is the Least Common Multiple of 4446 and 4453?

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 4446 and 4453 is 19798038.

LCM(4446,4453) = 19798038

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Least Common Multiple of 4446 and 4453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4446 and 4453, than apply into the LCM equation.

GCF(4446,4453) = 1
LCM(4446,4453) = ( 4446 × 4453) / 1
LCM(4446,4453) = 19798038 / 1
LCM(4446,4453) = 19798038

Least Common Multiple (LCM) of 4446 and 4453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4446 and 4453. First we will calculate the prime factors of 4446 and 4453.

Prime Factorization of 4446

Prime factors of 4446 are 2, 3, 13, 19. Prime factorization of 4446 in exponential form is:

4446 = 21 × 32 × 131 × 191

Prime Factorization of 4453

Prime factors of 4453 are 61, 73. Prime factorization of 4453 in exponential form is:

4453 = 611 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 4446 and 4453.

LCM(4446,4453) = 21 × 32 × 131 × 191 × 611 × 731
LCM(4446,4453) = 19798038