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What is the Least Common Multiple of 7383 and 7390?

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 7383 and 7390 is 54560370.

LCM(7383,7390) = 54560370

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Least Common Multiple of 7383 and 7390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7383 and 7390, than apply into the LCM equation.

GCF(7383,7390) = 1
LCM(7383,7390) = ( 7383 × 7390) / 1
LCM(7383,7390) = 54560370 / 1
LCM(7383,7390) = 54560370

Least Common Multiple (LCM) of 7383 and 7390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7383 and 7390. First we will calculate the prime factors of 7383 and 7390.

Prime Factorization of 7383

Prime factors of 7383 are 3, 23, 107. Prime factorization of 7383 in exponential form is:

7383 = 31 × 231 × 1071

Prime Factorization of 7390

Prime factors of 7390 are 2, 5, 739. Prime factorization of 7390 in exponential form is:

7390 = 21 × 51 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 7383 and 7390.

LCM(7383,7390) = 31 × 231 × 1071 × 21 × 51 × 7391
LCM(7383,7390) = 54560370