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What is the Least Common Multiple of 8030 and 8043?

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 8030 and 8043 is 64585290.

LCM(8030,8043) = 64585290

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Least Common Multiple of 8030 and 8043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8030 and 8043, than apply into the LCM equation.

GCF(8030,8043) = 1
LCM(8030,8043) = ( 8030 × 8043) / 1
LCM(8030,8043) = 64585290 / 1
LCM(8030,8043) = 64585290

Least Common Multiple (LCM) of 8030 and 8043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8030 and 8043. First we will calculate the prime factors of 8030 and 8043.

Prime Factorization of 8030

Prime factors of 8030 are 2, 5, 11, 73. Prime factorization of 8030 in exponential form is:

8030 = 21 × 51 × 111 × 731

Prime Factorization of 8043

Prime factors of 8043 are 3, 7, 383. Prime factorization of 8043 in exponential form is:

8043 = 31 × 71 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 8030 and 8043.

LCM(8030,8043) = 21 × 51 × 111 × 731 × 31 × 71 × 3831
LCM(8030,8043) = 64585290