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What is the Least Common Multiple of 6193 and 6202?

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 6202 is 38408986.

LCM(6193,6202) = 38408986

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Least Common Multiple of 6193 and 6202 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 6202, than apply into the LCM equation.

GCF(6193,6202) = 1
LCM(6193,6202) = ( 6193 × 6202) / 1
LCM(6193,6202) = 38408986 / 1
LCM(6193,6202) = 38408986

Least Common Multiple (LCM) of 6193 and 6202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6193 and 6202. First we will calculate the prime factors of 6193 and 6202.

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 6202

Prime factors of 6202 are 2, 7, 443. Prime factorization of 6202 in exponential form is:

6202 = 21 × 71 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 6193 and 6202.

LCM(6193,6202) = 111 × 5631 × 21 × 71 × 4431
LCM(6193,6202) = 38408986