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What is the Least Common Multiple of 93158 and 93178?

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 93158 and 93178 is 4340138062.

LCM(93158,93178) = 4340138062

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Least Common Multiple of 93158 and 93178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93158 and 93178, than apply into the LCM equation.

GCF(93158,93178) = 2
LCM(93158,93178) = ( 93158 × 93178) / 2
LCM(93158,93178) = 8680276124 / 2
LCM(93158,93178) = 4340138062

Least Common Multiple (LCM) of 93158 and 93178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93158 and 93178. First we will calculate the prime factors of 93158 and 93178.

Prime Factorization of 93158

Prime factors of 93158 are 2, 13, 3583. Prime factorization of 93158 in exponential form is:

93158 = 21 × 131 × 35831

Prime Factorization of 93178

Prime factors of 93178 are 2, 46589. Prime factorization of 93178 in exponential form is:

93178 = 21 × 465891

Now multiplying the highest exponent prime factors to calculate the LCM of 93158 and 93178.

LCM(93158,93178) = 21 × 131 × 35831 × 465891
LCM(93158,93178) = 4340138062