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What is the Least Common Multiple of 57205 and 57211?

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 57205 and 57211 is 3272755255.

LCM(57205,57211) = 3272755255

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Least Common Multiple of 57205 and 57211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57205 and 57211, than apply into the LCM equation.

GCF(57205,57211) = 1
LCM(57205,57211) = ( 57205 × 57211) / 1
LCM(57205,57211) = 3272755255 / 1
LCM(57205,57211) = 3272755255

Least Common Multiple (LCM) of 57205 and 57211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57205 and 57211. First we will calculate the prime factors of 57205 and 57211.

Prime Factorization of 57205

Prime factors of 57205 are 5, 17, 673. Prime factorization of 57205 in exponential form is:

57205 = 51 × 171 × 6731

Prime Factorization of 57211

Prime factors of 57211 are 7, 11, 743. Prime factorization of 57211 in exponential form is:

57211 = 71 × 111 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 57205 and 57211.

LCM(57205,57211) = 51 × 171 × 6731 × 71 × 111 × 7431
LCM(57205,57211) = 3272755255