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What is the Least Common Multiple of 57247 and 57266?

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 57247 and 57266 is 172542458.

LCM(57247,57266) = 172542458

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Least Common Multiple of 57247 and 57266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57247 and 57266, than apply into the LCM equation.

GCF(57247,57266) = 19
LCM(57247,57266) = ( 57247 × 57266) / 19
LCM(57247,57266) = 3278306702 / 19
LCM(57247,57266) = 172542458

Least Common Multiple (LCM) of 57247 and 57266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57247 and 57266. First we will calculate the prime factors of 57247 and 57266.

Prime Factorization of 57247

Prime factors of 57247 are 19, 23, 131. Prime factorization of 57247 in exponential form is:

57247 = 191 × 231 × 1311

Prime Factorization of 57266

Prime factors of 57266 are 2, 11, 19, 137. Prime factorization of 57266 in exponential form is:

57266 = 21 × 111 × 191 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 57247 and 57266.

LCM(57247,57266) = 191 × 231 × 1311 × 21 × 111 × 1371
LCM(57247,57266) = 172542458