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What is the Least Common Multiple of 92727 and 92743?

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 92727 and 92743 is 8599780161.

LCM(92727,92743) = 8599780161

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Least Common Multiple of 92727 and 92743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92727 and 92743, than apply into the LCM equation.

GCF(92727,92743) = 1
LCM(92727,92743) = ( 92727 × 92743) / 1
LCM(92727,92743) = 8599780161 / 1
LCM(92727,92743) = 8599780161

Least Common Multiple (LCM) of 92727 and 92743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92727 and 92743. First we will calculate the prime factors of 92727 and 92743.

Prime Factorization of 92727

Prime factors of 92727 are 3, 10303. Prime factorization of 92727 in exponential form is:

92727 = 32 × 103031

Prime Factorization of 92743

Prime factors of 92743 are 7, 13249. Prime factorization of 92743 in exponential form is:

92743 = 71 × 132491

Now multiplying the highest exponent prime factors to calculate the LCM of 92727 and 92743.

LCM(92727,92743) = 32 × 103031 × 71 × 132491
LCM(92727,92743) = 8599780161