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What is the Least Common Multiple of 93088 and 93104?

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 93088 and 93104 is 541679072.

LCM(93088,93104) = 541679072

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Least Common Multiple of 93088 and 93104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93088 and 93104, than apply into the LCM equation.

GCF(93088,93104) = 16
LCM(93088,93104) = ( 93088 × 93104) / 16
LCM(93088,93104) = 8666865152 / 16
LCM(93088,93104) = 541679072

Least Common Multiple (LCM) of 93088 and 93104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93088 and 93104. First we will calculate the prime factors of 93088 and 93104.

Prime Factorization of 93088

Prime factors of 93088 are 2, 2909. Prime factorization of 93088 in exponential form is:

93088 = 25 × 29091

Prime Factorization of 93104

Prime factors of 93104 are 2, 11, 23. Prime factorization of 93104 in exponential form is:

93104 = 24 × 111 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 93088 and 93104.

LCM(93088,93104) = 25 × 29091 × 111 × 232
LCM(93088,93104) = 541679072