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What is the Least Common Multiple of 37310 and 37327?

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 37310 and 37327 is 1392670370.

LCM(37310,37327) = 1392670370

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Least Common Multiple of 37310 and 37327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37310 and 37327, than apply into the LCM equation.

GCF(37310,37327) = 1
LCM(37310,37327) = ( 37310 × 37327) / 1
LCM(37310,37327) = 1392670370 / 1
LCM(37310,37327) = 1392670370

Least Common Multiple (LCM) of 37310 and 37327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37310 and 37327. First we will calculate the prime factors of 37310 and 37327.

Prime Factorization of 37310

Prime factors of 37310 are 2, 5, 7, 13, 41. Prime factorization of 37310 in exponential form is:

37310 = 21 × 51 × 71 × 131 × 411

Prime Factorization of 37327

Prime factors of 37327 are 163, 229. Prime factorization of 37327 in exponential form is:

37327 = 1631 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 37310 and 37327.

LCM(37310,37327) = 21 × 51 × 71 × 131 × 411 × 1631 × 2291
LCM(37310,37327) = 1392670370