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What is the Least Common Multiple of 7135 and 7146?

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 7135 and 7146 is 50986710.

LCM(7135,7146) = 50986710

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Least Common Multiple of 7135 and 7146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7135 and 7146, than apply into the LCM equation.

GCF(7135,7146) = 1
LCM(7135,7146) = ( 7135 × 7146) / 1
LCM(7135,7146) = 50986710 / 1
LCM(7135,7146) = 50986710

Least Common Multiple (LCM) of 7135 and 7146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7135 and 7146. First we will calculate the prime factors of 7135 and 7146.

Prime Factorization of 7135

Prime factors of 7135 are 5, 1427. Prime factorization of 7135 in exponential form is:

7135 = 51 × 14271

Prime Factorization of 7146

Prime factors of 7146 are 2, 3, 397. Prime factorization of 7146 in exponential form is:

7146 = 21 × 32 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 7135 and 7146.

LCM(7135,7146) = 51 × 14271 × 21 × 32 × 3971
LCM(7135,7146) = 50986710