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What is the Least Common Multiple of 6193 and 6203?

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 6193 and 6203 is 38415179.

LCM(6193,6203) = 38415179

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Least Common Multiple of 6193 and 6203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6193 and 6203, than apply into the LCM equation.

GCF(6193,6203) = 1
LCM(6193,6203) = ( 6193 × 6203) / 1
LCM(6193,6203) = 38415179 / 1
LCM(6193,6203) = 38415179

Least Common Multiple (LCM) of 6193 and 6203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6193 and 6203. First we will calculate the prime factors of 6193 and 6203.

Prime Factorization of 6193

Prime factors of 6193 are 11, 563. Prime factorization of 6193 in exponential form is:

6193 = 111 × 5631

Prime Factorization of 6203

Prime factors of 6203 are 6203. Prime factorization of 6203 in exponential form is:

6203 = 62031

Now multiplying the highest exponent prime factors to calculate the LCM of 6193 and 6203.

LCM(6193,6203) = 111 × 5631 × 62031
LCM(6193,6203) = 38415179