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What is the Least Common Multiple of 57224 and 57238?

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 57224 and 57238 is 1637693656.

LCM(57224,57238) = 1637693656

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Least Common Multiple of 57224 and 57238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57224 and 57238, than apply into the LCM equation.

GCF(57224,57238) = 2
LCM(57224,57238) = ( 57224 × 57238) / 2
LCM(57224,57238) = 3275387312 / 2
LCM(57224,57238) = 1637693656

Least Common Multiple (LCM) of 57224 and 57238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57224 and 57238. First we will calculate the prime factors of 57224 and 57238.

Prime Factorization of 57224

Prime factors of 57224 are 2, 23, 311. Prime factorization of 57224 in exponential form is:

57224 = 23 × 231 × 3111

Prime Factorization of 57238

Prime factors of 57238 are 2, 28619. Prime factorization of 57238 in exponential form is:

57238 = 21 × 286191

Now multiplying the highest exponent prime factors to calculate the LCM of 57224 and 57238.

LCM(57224,57238) = 23 × 231 × 3111 × 286191
LCM(57224,57238) = 1637693656