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What is the Least Common Multiple of 8030 and 8049?

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 8049 is 64633470.

LCM(8030,8049) = 64633470

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Least Common Multiple of 8030 and 8049 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 8049, than apply into the LCM equation.

GCF(8030,8049) = 1
LCM(8030,8049) = ( 8030 × 8049) / 1
LCM(8030,8049) = 64633470 / 1
LCM(8030,8049) = 64633470

Least Common Multiple (LCM) of 8030 and 8049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8030 and 8049. First we will calculate the prime factors of 8030 and 8049.

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 8049

Prime factors of 8049 are 3, 2683. Prime factorization of 8049 in exponential form is:

8049 = 31 × 26831

Now multiplying the highest exponent prime factors to calculate the LCM of 8030 and 8049.

LCM(8030,8049) = 21 × 51 × 111 × 731 × 31 × 26831
LCM(8030,8049) = 64633470