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What is the Least Common Multiple of 57164 and 57180?

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 57164 and 57180 is 817159380.

LCM(57164,57180) = 817159380

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Least Common Multiple of 57164 and 57180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57164 and 57180, than apply into the LCM equation.

GCF(57164,57180) = 4
LCM(57164,57180) = ( 57164 × 57180) / 4
LCM(57164,57180) = 3268637520 / 4
LCM(57164,57180) = 817159380

Least Common Multiple (LCM) of 57164 and 57180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57164 and 57180. First we will calculate the prime factors of 57164 and 57180.

Prime Factorization of 57164

Prime factors of 57164 are 2, 31, 461. Prime factorization of 57164 in exponential form is:

57164 = 22 × 311 × 4611

Prime Factorization of 57180

Prime factors of 57180 are 2, 3, 5, 953. Prime factorization of 57180 in exponential form is:

57180 = 22 × 31 × 51 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 57164 and 57180.

LCM(57164,57180) = 22 × 311 × 4611 × 31 × 51 × 9531
LCM(57164,57180) = 817159380