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What is the Least Common Multiple of 93002 and 93012?

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 93002 and 93012 is 4325151012.

LCM(93002,93012) = 4325151012

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Least Common Multiple of 93002 and 93012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93002 and 93012, than apply into the LCM equation.

GCF(93002,93012) = 2
LCM(93002,93012) = ( 93002 × 93012) / 2
LCM(93002,93012) = 8650302024 / 2
LCM(93002,93012) = 4325151012

Least Common Multiple (LCM) of 93002 and 93012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93002 and 93012. First we will calculate the prime factors of 93002 and 93012.

Prime Factorization of 93002

Prime factors of 93002 are 2, 7, 13, 73. Prime factorization of 93002 in exponential form is:

93002 = 21 × 72 × 131 × 731

Prime Factorization of 93012

Prime factors of 93012 are 2, 3, 23, 337. Prime factorization of 93012 in exponential form is:

93012 = 22 × 31 × 231 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 93002 and 93012.

LCM(93002,93012) = 22 × 72 × 131 × 731 × 31 × 231 × 3371
LCM(93002,93012) = 4325151012