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What is the Least Common Multiple of 443 and 451?

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 443 and 451 is 199793.

LCM(443,451) = 199793

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Least Common Multiple of 443 and 451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 443 and 451, than apply into the LCM equation.

GCF(443,451) = 1
LCM(443,451) = ( 443 × 451) / 1
LCM(443,451) = 199793 / 1
LCM(443,451) = 199793

Least Common Multiple (LCM) of 443 and 451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 443 and 451. First we will calculate the prime factors of 443 and 451.

Prime Factorization of 443

Prime factors of 443 are 443. Prime factorization of 443 in exponential form is:

443 = 4431

Prime Factorization of 451

Prime factors of 451 are 11, 41. Prime factorization of 451 in exponential form is:

451 = 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 443 and 451.

LCM(443,451) = 4431 × 111 × 411
LCM(443,451) = 199793