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What is the Least Common Multiple of 93114 and 93122?

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 93114 and 93122 is 4335480954.

LCM(93114,93122) = 4335480954

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Least Common Multiple of 93114 and 93122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93114 and 93122, than apply into the LCM equation.

GCF(93114,93122) = 2
LCM(93114,93122) = ( 93114 × 93122) / 2
LCM(93114,93122) = 8670961908 / 2
LCM(93114,93122) = 4335480954

Least Common Multiple (LCM) of 93114 and 93122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93114 and 93122. First we will calculate the prime factors of 93114 and 93122.

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

Prime Factorization of 93122

Prime factors of 93122 are 2, 101, 461. Prime factorization of 93122 in exponential form is:

93122 = 21 × 1011 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 93114 and 93122.

LCM(93114,93122) = 21 × 32 × 71 × 7391 × 1011 × 4611
LCM(93114,93122) = 4335480954