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What is the Least Common Multiple of 7430 and 7437?

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 7430 and 7437 is 55256910.

LCM(7430,7437) = 55256910

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Least Common Multiple of 7430 and 7437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7430 and 7437, than apply into the LCM equation.

GCF(7430,7437) = 1
LCM(7430,7437) = ( 7430 × 7437) / 1
LCM(7430,7437) = 55256910 / 1
LCM(7430,7437) = 55256910

Least Common Multiple (LCM) of 7430 and 7437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7430 and 7437. First we will calculate the prime factors of 7430 and 7437.

Prime Factorization of 7430

Prime factors of 7430 are 2, 5, 743. Prime factorization of 7430 in exponential form is:

7430 = 21 × 51 × 7431

Prime Factorization of 7437

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

7437 = 31 × 371 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 7430 and 7437.

LCM(7430,7437) = 21 × 51 × 7431 × 31 × 371 × 671
LCM(7430,7437) = 55256910