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What is the Least Common Multiple of 66281 and 66294?

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 66281 and 66294 is 4394032614.

LCM(66281,66294) = 4394032614

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Least Common Multiple of 66281 and 66294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66281 and 66294, than apply into the LCM equation.

GCF(66281,66294) = 1
LCM(66281,66294) = ( 66281 × 66294) / 1
LCM(66281,66294) = 4394032614 / 1
LCM(66281,66294) = 4394032614

Least Common Multiple (LCM) of 66281 and 66294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66281 and 66294. First we will calculate the prime factors of 66281 and 66294.

Prime Factorization of 66281

Prime factors of 66281 are 79, 839. Prime factorization of 66281 in exponential form is:

66281 = 791 × 8391

Prime Factorization of 66294

Prime factors of 66294 are 2, 3, 29, 127. Prime factorization of 66294 in exponential form is:

66294 = 21 × 32 × 291 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 66281 and 66294.

LCM(66281,66294) = 791 × 8391 × 21 × 32 × 291 × 1271
LCM(66281,66294) = 4394032614