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What is the Least Common Multiple of 93104 and 93114?

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 93104 and 93114 is 4334642928.

LCM(93104,93114) = 4334642928

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Least Common Multiple of 93104 and 93114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93104 and 93114, than apply into the LCM equation.

GCF(93104,93114) = 2
LCM(93104,93114) = ( 93104 × 93114) / 2
LCM(93104,93114) = 8669285856 / 2
LCM(93104,93114) = 4334642928

Least Common Multiple (LCM) of 93104 and 93114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93104 and 93114. First we will calculate the prime factors of 93104 and 93114.

Prime Factorization of 93104

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

93104 = 24 × 111 × 232

Prime Factorization of 93114

Prime factors of 93114 are 2, 3, 7, 739. Prime factorization of 93114 in exponential form is:

93114 = 21 × 32 × 71 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 93104 and 93114.

LCM(93104,93114) = 24 × 111 × 232 × 32 × 71 × 7391
LCM(93104,93114) = 4334642928