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What is the Least Common Multiple of 7107 and 7113?

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 7107 and 7113 is 16850697.

LCM(7107,7113) = 16850697

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Least Common Multiple of 7107 and 7113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7107 and 7113, than apply into the LCM equation.

GCF(7107,7113) = 3
LCM(7107,7113) = ( 7107 × 7113) / 3
LCM(7107,7113) = 50552091 / 3
LCM(7107,7113) = 16850697

Least Common Multiple (LCM) of 7107 and 7113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7107 and 7113. First we will calculate the prime factors of 7107 and 7113.

Prime Factorization of 7107

Prime factors of 7107 are 3, 23, 103. Prime factorization of 7107 in exponential form is:

7107 = 31 × 231 × 1031

Prime Factorization of 7113

Prime factors of 7113 are 3, 2371. Prime factorization of 7113 in exponential form is:

7113 = 31 × 23711

Now multiplying the highest exponent prime factors to calculate the LCM of 7107 and 7113.

LCM(7107,7113) = 31 × 231 × 1031 × 23711
LCM(7107,7113) = 16850697