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What is the Least Common Multiple of 8728 and 8742?

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 8728 and 8742 is 38150088.

LCM(8728,8742) = 38150088

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Least Common Multiple of 8728 and 8742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8728 and 8742, than apply into the LCM equation.

GCF(8728,8742) = 2
LCM(8728,8742) = ( 8728 × 8742) / 2
LCM(8728,8742) = 76300176 / 2
LCM(8728,8742) = 38150088

Least Common Multiple (LCM) of 8728 and 8742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8728 and 8742. First we will calculate the prime factors of 8728 and 8742.

Prime Factorization of 8728

Prime factors of 8728 are 2, 1091. Prime factorization of 8728 in exponential form is:

8728 = 23 × 10911

Prime Factorization of 8742

Prime factors of 8742 are 2, 3, 31, 47. Prime factorization of 8742 in exponential form is:

8742 = 21 × 31 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 8728 and 8742.

LCM(8728,8742) = 23 × 10911 × 31 × 311 × 471
LCM(8728,8742) = 38150088