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What is the Least Common Multiple of 66443 and 66450?

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 66443 and 66450 is 4415137350.

LCM(66443,66450) = 4415137350

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Least Common Multiple of 66443 and 66450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66443 and 66450, than apply into the LCM equation.

GCF(66443,66450) = 1
LCM(66443,66450) = ( 66443 × 66450) / 1
LCM(66443,66450) = 4415137350 / 1
LCM(66443,66450) = 4415137350

Least Common Multiple (LCM) of 66443 and 66450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66443 and 66450. First we will calculate the prime factors of 66443 and 66450.

Prime Factorization of 66443

Prime factors of 66443 are 13, 19, 269. Prime factorization of 66443 in exponential form is:

66443 = 131 × 191 × 2691

Prime Factorization of 66450

Prime factors of 66450 are 2, 3, 5, 443. Prime factorization of 66450 in exponential form is:

66450 = 21 × 31 × 52 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 66443 and 66450.

LCM(66443,66450) = 131 × 191 × 2691 × 21 × 31 × 52 × 4431
LCM(66443,66450) = 4415137350