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What is the Least Common Multiple of 57197 and 57213?

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 57213 is 3272411961.

LCM(57197,57213) = 3272411961

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Least Common Multiple of 57197 and 57213 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 57213, than apply into the LCM equation.

GCF(57197,57213) = 1
LCM(57197,57213) = ( 57197 × 57213) / 1
LCM(57197,57213) = 3272411961 / 1
LCM(57197,57213) = 3272411961

Least Common Multiple (LCM) of 57197 and 57213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57197 and 57213. First we will calculate the prime factors of 57197 and 57213.

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 57213

Prime factors of 57213 are 3, 13, 163. Prime factorization of 57213 in exponential form is:

57213 = 33 × 131 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 57197 and 57213.

LCM(57197,57213) = 71 × 81711 × 33 × 131 × 1631
LCM(57197,57213) = 3272411961