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What is the Least Common Multiple of 56199 and 56213?

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 56199 and 56213 is 3159114387.

LCM(56199,56213) = 3159114387

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Least Common Multiple of 56199 and 56213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56199 and 56213, than apply into the LCM equation.

GCF(56199,56213) = 1
LCM(56199,56213) = ( 56199 × 56213) / 1
LCM(56199,56213) = 3159114387 / 1
LCM(56199,56213) = 3159114387

Least Common Multiple (LCM) of 56199 and 56213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56199 and 56213. First we will calculate the prime factors of 56199 and 56213.

Prime Factorization of 56199

Prime factors of 56199 are 3, 11, 13, 131. Prime factorization of 56199 in exponential form is:

56199 = 31 × 111 × 131 × 1311

Prime Factorization of 56213

Prime factors of 56213 are 67, 839. Prime factorization of 56213 in exponential form is:

56213 = 671 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 56199 and 56213.

LCM(56199,56213) = 31 × 111 × 131 × 1311 × 671 × 8391
LCM(56199,56213) = 3159114387