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What is the Least Common Multiple of 7315 and 7328?

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 7315 and 7328 is 53604320.

LCM(7315,7328) = 53604320

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Least Common Multiple of 7315 and 7328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7315 and 7328, than apply into the LCM equation.

GCF(7315,7328) = 1
LCM(7315,7328) = ( 7315 × 7328) / 1
LCM(7315,7328) = 53604320 / 1
LCM(7315,7328) = 53604320

Least Common Multiple (LCM) of 7315 and 7328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7315 and 7328. First we will calculate the prime factors of 7315 and 7328.

Prime Factorization of 7315

Prime factors of 7315 are 5, 7, 11, 19. Prime factorization of 7315 in exponential form is:

7315 = 51 × 71 × 111 × 191

Prime Factorization of 7328

Prime factors of 7328 are 2, 229. Prime factorization of 7328 in exponential form is:

7328 = 25 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 7315 and 7328.

LCM(7315,7328) = 51 × 71 × 111 × 191 × 25 × 2291
LCM(7315,7328) = 53604320