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What is the Least Common Multiple of 57325 and 57335?

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 57325 and 57335 is 657345775.

LCM(57325,57335) = 657345775

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Least Common Multiple of 57325 and 57335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57325 and 57335, than apply into the LCM equation.

GCF(57325,57335) = 5
LCM(57325,57335) = ( 57325 × 57335) / 5
LCM(57325,57335) = 3286728875 / 5
LCM(57325,57335) = 657345775

Least Common Multiple (LCM) of 57325 and 57335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57325 and 57335. First we will calculate the prime factors of 57325 and 57335.

Prime Factorization of 57325

Prime factors of 57325 are 5, 2293. Prime factorization of 57325 in exponential form is:

57325 = 52 × 22931

Prime Factorization of 57335

Prime factors of 57335 are 5, 11467. Prime factorization of 57335 in exponential form is:

57335 = 51 × 114671

Now multiplying the highest exponent prime factors to calculate the LCM of 57325 and 57335.

LCM(57325,57335) = 52 × 22931 × 114671
LCM(57325,57335) = 657345775