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What is the Least Common Multiple of 57037 and 57055?

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 57037 and 57055 is 3254246035.

LCM(57037,57055) = 3254246035

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Least Common Multiple of 57037 and 57055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57037 and 57055, than apply into the LCM equation.

GCF(57037,57055) = 1
LCM(57037,57055) = ( 57037 × 57055) / 1
LCM(57037,57055) = 3254246035 / 1
LCM(57037,57055) = 3254246035

Least Common Multiple (LCM) of 57037 and 57055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57037 and 57055. First we will calculate the prime factors of 57037 and 57055.

Prime Factorization of 57037

Prime factors of 57037 are 57037. Prime factorization of 57037 in exponential form is:

57037 = 570371

Prime Factorization of 57055

Prime factors of 57055 are 5, 11411. Prime factorization of 57055 in exponential form is:

57055 = 51 × 114111

Now multiplying the highest exponent prime factors to calculate the LCM of 57037 and 57055.

LCM(57037,57055) = 570371 × 51 × 114111
LCM(57037,57055) = 3254246035