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What is the Least Common Multiple of 93012 and 93032?

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 93012 and 93032 is 2163273096.

LCM(93012,93032) = 2163273096

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Least Common Multiple of 93012 and 93032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93012 and 93032, than apply into the LCM equation.

GCF(93012,93032) = 4
LCM(93012,93032) = ( 93012 × 93032) / 4
LCM(93012,93032) = 8653092384 / 4
LCM(93012,93032) = 2163273096

Least Common Multiple (LCM) of 93012 and 93032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93012 and 93032. First we will calculate the prime factors of 93012 and 93032.

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

Prime Factorization of 93032

Prime factors of 93032 are 2, 29, 401. Prime factorization of 93032 in exponential form is:

93032 = 23 × 291 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 93012 and 93032.

LCM(93012,93032) = 23 × 31 × 231 × 3371 × 291 × 4011
LCM(93012,93032) = 2163273096