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What is the Least Common Multiple of 7437 and 7453?

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 7437 and 7453 is 55427961.

LCM(7437,7453) = 55427961

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Least Common Multiple of 7437 and 7453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7437 and 7453, than apply into the LCM equation.

GCF(7437,7453) = 1
LCM(7437,7453) = ( 7437 × 7453) / 1
LCM(7437,7453) = 55427961 / 1
LCM(7437,7453) = 55427961

Least Common Multiple (LCM) of 7437 and 7453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7437 and 7453. First we will calculate the prime factors of 7437 and 7453.

Prime Factorization of 7437

Prime factors of 7437 are 3, 37, 67. Prime factorization of 7437 in exponential form is:

7437 = 31 × 371 × 671

Prime Factorization of 7453

Prime factors of 7453 are 29, 257. Prime factorization of 7453 in exponential form is:

7453 = 291 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 7437 and 7453.

LCM(7437,7453) = 31 × 371 × 671 × 291 × 2571
LCM(7437,7453) = 55427961