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What is the Least Common Multiple of 93436 and 93456?

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 93436 and 93456 is 2183038704.

LCM(93436,93456) = 2183038704

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Least Common Multiple of 93436 and 93456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93436 and 93456, than apply into the LCM equation.

GCF(93436,93456) = 4
LCM(93436,93456) = ( 93436 × 93456) / 4
LCM(93436,93456) = 8732154816 / 4
LCM(93436,93456) = 2183038704

Least Common Multiple (LCM) of 93436 and 93456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93436 and 93456. First we will calculate the prime factors of 93436 and 93456.

Prime Factorization of 93436

Prime factors of 93436 are 2, 7, 47, 71. Prime factorization of 93436 in exponential form is:

93436 = 22 × 71 × 471 × 711

Prime Factorization of 93456

Prime factors of 93456 are 2, 3, 11, 59. Prime factorization of 93456 in exponential form is:

93456 = 24 × 32 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 93436 and 93456.

LCM(93436,93456) = 24 × 71 × 471 × 711 × 32 × 111 × 591
LCM(93436,93456) = 2183038704