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What is the Least Common Multiple of 7319 and 7332?

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 7319 and 7332 is 4127916.

LCM(7319,7332) = 4127916

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Least Common Multiple of 7319 and 7332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7319 and 7332, than apply into the LCM equation.

GCF(7319,7332) = 13
LCM(7319,7332) = ( 7319 × 7332) / 13
LCM(7319,7332) = 53662908 / 13
LCM(7319,7332) = 4127916

Least Common Multiple (LCM) of 7319 and 7332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7319 and 7332. First we will calculate the prime factors of 7319 and 7332.

Prime Factorization of 7319

Prime factors of 7319 are 13, 563. Prime factorization of 7319 in exponential form is:

7319 = 131 × 5631

Prime Factorization of 7332

Prime factors of 7332 are 2, 3, 13, 47. Prime factorization of 7332 in exponential form is:

7332 = 22 × 31 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 7319 and 7332.

LCM(7319,7332) = 131 × 5631 × 22 × 31 × 471
LCM(7319,7332) = 4127916