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What is the Least Common Multiple of 7128 and 7145?

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 7128 and 7145 is 50929560.

LCM(7128,7145) = 50929560

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Least Common Multiple of 7128 and 7145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7128 and 7145, than apply into the LCM equation.

GCF(7128,7145) = 1
LCM(7128,7145) = ( 7128 × 7145) / 1
LCM(7128,7145) = 50929560 / 1
LCM(7128,7145) = 50929560

Least Common Multiple (LCM) of 7128 and 7145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7128 and 7145. First we will calculate the prime factors of 7128 and 7145.

Prime Factorization of 7128

Prime factors of 7128 are 2, 3, 11. Prime factorization of 7128 in exponential form is:

7128 = 23 × 34 × 111

Prime Factorization of 7145

Prime factors of 7145 are 5, 1429. Prime factorization of 7145 in exponential form is:

7145 = 51 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 7128 and 7145.

LCM(7128,7145) = 23 × 34 × 111 × 51 × 14291
LCM(7128,7145) = 50929560