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What is the Least Common Multiple of 7181 and 7193?

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 7181 and 7193 is 51652933.

LCM(7181,7193) = 51652933

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Least Common Multiple of 7181 and 7193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7181 and 7193, than apply into the LCM equation.

GCF(7181,7193) = 1
LCM(7181,7193) = ( 7181 × 7193) / 1
LCM(7181,7193) = 51652933 / 1
LCM(7181,7193) = 51652933

Least Common Multiple (LCM) of 7181 and 7193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7181 and 7193. First we will calculate the prime factors of 7181 and 7193.

Prime Factorization of 7181

Prime factors of 7181 are 43, 167. Prime factorization of 7181 in exponential form is:

7181 = 431 × 1671

Prime Factorization of 7193

Prime factors of 7193 are 7193. Prime factorization of 7193 in exponential form is:

7193 = 71931

Now multiplying the highest exponent prime factors to calculate the LCM of 7181 and 7193.

LCM(7181,7193) = 431 × 1671 × 71931
LCM(7181,7193) = 51652933