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What is the Least Common Multiple of 27430 and 27437?

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 27430 and 27437 is 752596910.

LCM(27430,27437) = 752596910

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Least Common Multiple of 27430 and 27437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27430 and 27437, than apply into the LCM equation.

GCF(27430,27437) = 1
LCM(27430,27437) = ( 27430 × 27437) / 1
LCM(27430,27437) = 752596910 / 1
LCM(27430,27437) = 752596910

Least Common Multiple (LCM) of 27430 and 27437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27430 and 27437. First we will calculate the prime factors of 27430 and 27437.

Prime Factorization of 27430

Prime factors of 27430 are 2, 5, 13, 211. Prime factorization of 27430 in exponential form is:

27430 = 21 × 51 × 131 × 2111

Prime Factorization of 27437

Prime factors of 27437 are 27437. Prime factorization of 27437 in exponential form is:

27437 = 274371

Now multiplying the highest exponent prime factors to calculate the LCM of 27430 and 27437.

LCM(27430,27437) = 21 × 51 × 131 × 2111 × 274371
LCM(27430,27437) = 752596910