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What is the Least Common Multiple of 93411 and 93423?

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 93411 and 93423 is 2908911951.

LCM(93411,93423) = 2908911951

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Least Common Multiple of 93411 and 93423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93411 and 93423, than apply into the LCM equation.

GCF(93411,93423) = 3
LCM(93411,93423) = ( 93411 × 93423) / 3
LCM(93411,93423) = 8726735853 / 3
LCM(93411,93423) = 2908911951

Least Common Multiple (LCM) of 93411 and 93423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93411 and 93423. First we will calculate the prime factors of 93411 and 93423.

Prime Factorization of 93411

Prime factors of 93411 are 3, 97, 107. Prime factorization of 93411 in exponential form is:

93411 = 32 × 971 × 1071

Prime Factorization of 93423

Prime factors of 93423 are 3, 11, 19, 149. Prime factorization of 93423 in exponential form is:

93423 = 31 × 111 × 191 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 93411 and 93423.

LCM(93411,93423) = 32 × 971 × 1071 × 111 × 191 × 1491
LCM(93411,93423) = 2908911951