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What is the Least Common Multiple of 93147 and 93166?

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 93147 and 93166 is 8678133402.

LCM(93147,93166) = 8678133402

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Least Common Multiple of 93147 and 93166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93147 and 93166, than apply into the LCM equation.

GCF(93147,93166) = 1
LCM(93147,93166) = ( 93147 × 93166) / 1
LCM(93147,93166) = 8678133402 / 1
LCM(93147,93166) = 8678133402

Least Common Multiple (LCM) of 93147 and 93166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93147 and 93166. First we will calculate the prime factors of 93147 and 93166.

Prime Factorization of 93147

Prime factors of 93147 are 3, 61, 509. Prime factorization of 93147 in exponential form is:

93147 = 31 × 611 × 5091

Prime Factorization of 93166

Prime factors of 93166 are 2, 37, 1259. Prime factorization of 93166 in exponential form is:

93166 = 21 × 371 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 93147 and 93166.

LCM(93147,93166) = 31 × 611 × 5091 × 21 × 371 × 12591
LCM(93147,93166) = 8678133402