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What is the Least Common Multiple of 8730 and 8743?

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 8730 and 8743 is 76326390.

LCM(8730,8743) = 76326390

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Least Common Multiple of 8730 and 8743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8730 and 8743, than apply into the LCM equation.

GCF(8730,8743) = 1
LCM(8730,8743) = ( 8730 × 8743) / 1
LCM(8730,8743) = 76326390 / 1
LCM(8730,8743) = 76326390

Least Common Multiple (LCM) of 8730 and 8743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8730 and 8743. First we will calculate the prime factors of 8730 and 8743.

Prime Factorization of 8730

Prime factors of 8730 are 2, 3, 5, 97. Prime factorization of 8730 in exponential form is:

8730 = 21 × 32 × 51 × 971

Prime Factorization of 8743

Prime factors of 8743 are 7, 1249. Prime factorization of 8743 in exponential form is:

8743 = 71 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 8730 and 8743.

LCM(8730,8743) = 21 × 32 × 51 × 971 × 71 × 12491
LCM(8730,8743) = 76326390