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What is the Least Common Multiple of 37279 and 37291?

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 37279 and 37291 is 1390171189.

LCM(37279,37291) = 1390171189

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Least Common Multiple of 37279 and 37291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37279 and 37291, than apply into the LCM equation.

GCF(37279,37291) = 1
LCM(37279,37291) = ( 37279 × 37291) / 1
LCM(37279,37291) = 1390171189 / 1
LCM(37279,37291) = 1390171189

Least Common Multiple (LCM) of 37279 and 37291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37279 and 37291. First we will calculate the prime factors of 37279 and 37291.

Prime Factorization of 37279

Prime factors of 37279 are 11, 3389. Prime factorization of 37279 in exponential form is:

37279 = 111 × 33891

Prime Factorization of 37291

Prime factors of 37291 are 89, 419. Prime factorization of 37291 in exponential form is:

37291 = 891 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 37279 and 37291.

LCM(37279,37291) = 111 × 33891 × 891 × 4191
LCM(37279,37291) = 1390171189