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What is the Least Common Multiple of 7132 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 7132 and 7146 is 25482636.

LCM(7132,7146) = 25482636

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Least Common Multiple of 7132 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 7132 and 7146, than apply into the LCM equation.

GCF(7132,7146) = 2
LCM(7132,7146) = ( 7132 × 7146) / 2
LCM(7132,7146) = 50965272 / 2
LCM(7132,7146) = 25482636

Least Common Multiple (LCM) of 7132 and 7146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7132 and 7146. First we will calculate the prime factors of 7132 and 7146.

Prime Factorization of 7132

Prime factors of 7132 are 2, 1783. Prime factorization of 7132 in exponential form is:

7132 = 22 × 17831

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 7132 and 7146.

LCM(7132,7146) = 22 × 17831 × 32 × 3971
LCM(7132,7146) = 25482636