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What is the Least Common Multiple of 57257 and 57270?

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 57257 and 57270 is 3279108390.

LCM(57257,57270) = 3279108390

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Least Common Multiple of 57257 and 57270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57257 and 57270, than apply into the LCM equation.

GCF(57257,57270) = 1
LCM(57257,57270) = ( 57257 × 57270) / 1
LCM(57257,57270) = 3279108390 / 1
LCM(57257,57270) = 3279108390

Least Common Multiple (LCM) of 57257 and 57270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57257 and 57270. First we will calculate the prime factors of 57257 and 57270.

Prime Factorization of 57257

Prime factors of 57257 are 31, 1847. Prime factorization of 57257 in exponential form is:

57257 = 311 × 18471

Prime Factorization of 57270

Prime factors of 57270 are 2, 3, 5, 23, 83. Prime factorization of 57270 in exponential form is:

57270 = 21 × 31 × 51 × 231 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 57257 and 57270.

LCM(57257,57270) = 311 × 18471 × 21 × 31 × 51 × 231 × 831
LCM(57257,57270) = 3279108390