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What is the Least Common Multiple of 8041 and 8052?

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 8041 and 8052 is 5886012.

LCM(8041,8052) = 5886012

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Least Common Multiple of 8041 and 8052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8041 and 8052, than apply into the LCM equation.

GCF(8041,8052) = 11
LCM(8041,8052) = ( 8041 × 8052) / 11
LCM(8041,8052) = 64746132 / 11
LCM(8041,8052) = 5886012

Least Common Multiple (LCM) of 8041 and 8052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8041 and 8052. First we will calculate the prime factors of 8041 and 8052.

Prime Factorization of 8041

Prime factors of 8041 are 11, 17, 43. Prime factorization of 8041 in exponential form is:

8041 = 111 × 171 × 431

Prime Factorization of 8052

Prime factors of 8052 are 2, 3, 11, 61. Prime factorization of 8052 in exponential form is:

8052 = 22 × 31 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 8041 and 8052.

LCM(8041,8052) = 111 × 171 × 431 × 22 × 31 × 611
LCM(8041,8052) = 5886012