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What is the Least Common Multiple of 57197 and 57204?

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 57197 and 57204 is 467413884.

LCM(57197,57204) = 467413884

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Least Common Multiple of 57197 and 57204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57197 and 57204, than apply into the LCM equation.

GCF(57197,57204) = 7
LCM(57197,57204) = ( 57197 × 57204) / 7
LCM(57197,57204) = 3271897188 / 7
LCM(57197,57204) = 467413884

Least Common Multiple (LCM) of 57197 and 57204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57197 and 57204. First we will calculate the prime factors of 57197 and 57204.

Prime Factorization of 57197

Prime factors of 57197 are 7, 8171. Prime factorization of 57197 in exponential form is:

57197 = 71 × 81711

Prime Factorization of 57204

Prime factors of 57204 are 2, 3, 7, 227. Prime factorization of 57204 in exponential form is:

57204 = 22 × 32 × 71 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 57197 and 57204.

LCM(57197,57204) = 71 × 81711 × 22 × 32 × 2271
LCM(57197,57204) = 467413884