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What is the Least Common Multiple of 57058 and 57077?

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 57058 and 57077 is 3256699466.

LCM(57058,57077) = 3256699466

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Least Common Multiple of 57058 and 57077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57058 and 57077, than apply into the LCM equation.

GCF(57058,57077) = 1
LCM(57058,57077) = ( 57058 × 57077) / 1
LCM(57058,57077) = 3256699466 / 1
LCM(57058,57077) = 3256699466

Least Common Multiple (LCM) of 57058 and 57077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57058 and 57077. First we will calculate the prime factors of 57058 and 57077.

Prime Factorization of 57058

Prime factors of 57058 are 2, 47, 607. Prime factorization of 57058 in exponential form is:

57058 = 21 × 471 × 6071

Prime Factorization of 57077

Prime factors of 57077 are 57077. Prime factorization of 57077 in exponential form is:

57077 = 570771

Now multiplying the highest exponent prime factors to calculate the LCM of 57058 and 57077.

LCM(57058,57077) = 21 × 471 × 6071 × 570771
LCM(57058,57077) = 3256699466