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What is the Least Common Multiple of 57057 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 57057 and 57068 is 296011716.

LCM(57057,57068) = 296011716

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Least Common Multiple of 57057 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 57057 and 57068, than apply into the LCM equation.

GCF(57057,57068) = 11
LCM(57057,57068) = ( 57057 × 57068) / 11
LCM(57057,57068) = 3256128876 / 11
LCM(57057,57068) = 296011716

Least Common Multiple (LCM) of 57057 and 57068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57057 and 57068. First we will calculate the prime factors of 57057 and 57068.

Prime Factorization of 57057

Prime factors of 57057 are 3, 7, 11, 13, 19. Prime factorization of 57057 in exponential form is:

57057 = 31 × 71 × 111 × 131 × 191

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 57057 and 57068.

LCM(57057,57068) = 31 × 71 × 111 × 131 × 191 × 22 × 12971
LCM(57057,57068) = 296011716