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What is the Least Common Multiple of 57199 and 57208?

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 57199 and 57208 is 3272240392.

LCM(57199,57208) = 3272240392

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Least Common Multiple of 57199 and 57208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57199 and 57208, than apply into the LCM equation.

GCF(57199,57208) = 1
LCM(57199,57208) = ( 57199 × 57208) / 1
LCM(57199,57208) = 3272240392 / 1
LCM(57199,57208) = 3272240392

Least Common Multiple (LCM) of 57199 and 57208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57199 and 57208. First we will calculate the prime factors of 57199 and 57208.

Prime Factorization of 57199

Prime factors of 57199 are 47, 1217. Prime factorization of 57199 in exponential form is:

57199 = 471 × 12171

Prime Factorization of 57208

Prime factors of 57208 are 2, 7151. Prime factorization of 57208 in exponential form is:

57208 = 23 × 71511

Now multiplying the highest exponent prime factors to calculate the LCM of 57199 and 57208.

LCM(57199,57208) = 471 × 12171 × 23 × 71511
LCM(57199,57208) = 3272240392