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What is the Least Common Multiple of 92981 and 92993?

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 92981 and 92993 is 8646582133.

LCM(92981,92993) = 8646582133

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Least Common Multiple of 92981 and 92993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92981 and 92993, than apply into the LCM equation.

GCF(92981,92993) = 1
LCM(92981,92993) = ( 92981 × 92993) / 1
LCM(92981,92993) = 8646582133 / 1
LCM(92981,92993) = 8646582133

Least Common Multiple (LCM) of 92981 and 92993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92981 and 92993. First we will calculate the prime factors of 92981 and 92993.

Prime Factorization of 92981

Prime factors of 92981 are 7, 37, 359. Prime factorization of 92981 in exponential form is:

92981 = 71 × 371 × 3591

Prime Factorization of 92993

Prime factors of 92993 are 92993. Prime factorization of 92993 in exponential form is:

92993 = 929931

Now multiplying the highest exponent prime factors to calculate the LCM of 92981 and 92993.

LCM(92981,92993) = 71 × 371 × 3591 × 929931
LCM(92981,92993) = 8646582133