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What is the Least Common Multiple of 37041 and 37055?

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 37041 and 37055 is 1372554255.

LCM(37041,37055) = 1372554255

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Least Common Multiple of 37041 and 37055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37041 and 37055, than apply into the LCM equation.

GCF(37041,37055) = 1
LCM(37041,37055) = ( 37041 × 37055) / 1
LCM(37041,37055) = 1372554255 / 1
LCM(37041,37055) = 1372554255

Least Common Multiple (LCM) of 37041 and 37055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37041 and 37055. First we will calculate the prime factors of 37041 and 37055.

Prime Factorization of 37041

Prime factors of 37041 are 3, 12347. Prime factorization of 37041 in exponential form is:

37041 = 31 × 123471

Prime Factorization of 37055

Prime factors of 37055 are 5, 7411. Prime factorization of 37055 in exponential form is:

37055 = 51 × 74111

Now multiplying the highest exponent prime factors to calculate the LCM of 37041 and 37055.

LCM(37041,37055) = 31 × 123471 × 51 × 74111
LCM(37041,37055) = 1372554255