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What is the Least Common Multiple of 57052 and 57068?

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 57052 and 57068 is 813960884.

LCM(57052,57068) = 813960884

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Least Common Multiple of 57052 and 57068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57052 and 57068, than apply into the LCM equation.

GCF(57052,57068) = 4
LCM(57052,57068) = ( 57052 × 57068) / 4
LCM(57052,57068) = 3255843536 / 4
LCM(57052,57068) = 813960884

Least Common Multiple (LCM) of 57052 and 57068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57052 and 57068. First we will calculate the prime factors of 57052 and 57068.

Prime Factorization of 57052

Prime factors of 57052 are 2, 17, 839. Prime factorization of 57052 in exponential form is:

57052 = 22 × 171 × 8391

Prime Factorization of 57068

Prime factors of 57068 are 2, 11, 1297. Prime factorization of 57068 in exponential form is:

57068 = 22 × 111 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 57052 and 57068.

LCM(57052,57068) = 22 × 171 × 8391 × 111 × 12971
LCM(57052,57068) = 813960884