What is the Least Common Multiple of 93031 and 93046?
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 93031 and 93046 is 8656162426.
LCM(93031,93046) = 8656162426
Least Common Multiple of 93031 and 93046 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93031 and 93046, than apply into the LCM equation.
GCF(93031,93046) = 1
LCM(93031,93046) = ( 93031 × 93046) / 1
LCM(93031,93046) = 8656162426 / 1
LCM(93031,93046) = 8656162426
Least Common Multiple (LCM) of 93031 and 93046 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93031 and 93046. First we will calculate the prime factors of 93031 and 93046.
Prime Factorization of 93031
Prime factors of 93031 are 31, 3001. Prime factorization of 93031 in exponential form is:
93031 = 311 × 30011
Prime Factorization of 93046
Prime factors of 93046 are 2, 46523. Prime factorization of 93046 in exponential form is:
93046 = 21 × 465231
Now multiplying the highest exponent prime factors to calculate the LCM of 93031 and 93046.
LCM(93031,93046) = 311 × 30011 × 21 × 465231
LCM(93031,93046) = 8656162426
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