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What is the Least Common Multiple of 6180 and 6193?

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 6180 and 6193 is 38272740.

LCM(6180,6193) = 38272740

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Least Common Multiple of 6180 and 6193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6180 and 6193, than apply into the LCM equation.

GCF(6180,6193) = 1
LCM(6180,6193) = ( 6180 × 6193) / 1
LCM(6180,6193) = 38272740 / 1
LCM(6180,6193) = 38272740

Least Common Multiple (LCM) of 6180 and 6193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6180 and 6193. First we will calculate the prime factors of 6180 and 6193.

Prime Factorization of 6180

Prime factors of 6180 are 2, 3, 5, 103. Prime factorization of 6180 in exponential form is:

6180 = 22 × 31 × 51 × 1031

Prime Factorization of 6193

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

6193 = 111 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 6180 and 6193.

LCM(6180,6193) = 22 × 31 × 51 × 1031 × 111 × 5631
LCM(6180,6193) = 38272740