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What is the Least Common Multiple of 57225 and 57241?

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 57225 and 57241 is 3275616225.

LCM(57225,57241) = 3275616225

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Least Common Multiple of 57225 and 57241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57225 and 57241, than apply into the LCM equation.

GCF(57225,57241) = 1
LCM(57225,57241) = ( 57225 × 57241) / 1
LCM(57225,57241) = 3275616225 / 1
LCM(57225,57241) = 3275616225

Least Common Multiple (LCM) of 57225 and 57241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57225 and 57241. First we will calculate the prime factors of 57225 and 57241.

Prime Factorization of 57225

Prime factors of 57225 are 3, 5, 7, 109. Prime factorization of 57225 in exponential form is:

57225 = 31 × 52 × 71 × 1091

Prime Factorization of 57241

Prime factors of 57241 are 57241. Prime factorization of 57241 in exponential form is:

57241 = 572411

Now multiplying the highest exponent prime factors to calculate the LCM of 57225 and 57241.

LCM(57225,57241) = 31 × 52 × 71 × 1091 × 572411
LCM(57225,57241) = 3275616225