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What is the Least Common Multiple of 7101 and 7108?

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 7101 and 7108 is 50473908.

LCM(7101,7108) = 50473908

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Least Common Multiple of 7101 and 7108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7101 and 7108, than apply into the LCM equation.

GCF(7101,7108) = 1
LCM(7101,7108) = ( 7101 × 7108) / 1
LCM(7101,7108) = 50473908 / 1
LCM(7101,7108) = 50473908

Least Common Multiple (LCM) of 7101 and 7108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7101 and 7108. First we will calculate the prime factors of 7101 and 7108.

Prime Factorization of 7101

Prime factors of 7101 are 3, 263. Prime factorization of 7101 in exponential form is:

7101 = 33 × 2631

Prime Factorization of 7108

Prime factors of 7108 are 2, 1777. Prime factorization of 7108 in exponential form is:

7108 = 22 × 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 7101 and 7108.

LCM(7101,7108) = 33 × 2631 × 22 × 17771
LCM(7101,7108) = 50473908