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What is the Least Common Multiple of 57068 and 57086?

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 57068 and 57086 is 1628891924.

LCM(57068,57086) = 1628891924

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Least Common Multiple of 57068 and 57086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57068 and 57086, than apply into the LCM equation.

GCF(57068,57086) = 2
LCM(57068,57086) = ( 57068 × 57086) / 2
LCM(57068,57086) = 3257783848 / 2
LCM(57068,57086) = 1628891924

Least Common Multiple (LCM) of 57068 and 57086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57068 and 57086. First we will calculate the prime factors of 57068 and 57086.

Prime Factorization of 57068

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

57068 = 22 × 111 × 12971

Prime Factorization of 57086

Prime factors of 57086 are 2, 17, 23, 73. Prime factorization of 57086 in exponential form is:

57086 = 21 × 171 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 57068 and 57086.

LCM(57068,57086) = 22 × 111 × 12971 × 171 × 231 × 731
LCM(57068,57086) = 1628891924