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What is the Least Common Multiple of 37857 and 37874?

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 37857 and 37874 is 1433796018.

LCM(37857,37874) = 1433796018

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Least Common Multiple of 37857 and 37874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37857 and 37874, than apply into the LCM equation.

GCF(37857,37874) = 1
LCM(37857,37874) = ( 37857 × 37874) / 1
LCM(37857,37874) = 1433796018 / 1
LCM(37857,37874) = 1433796018

Least Common Multiple (LCM) of 37857 and 37874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37857 and 37874. First we will calculate the prime factors of 37857 and 37874.

Prime Factorization of 37857

Prime factors of 37857 are 3, 12619. Prime factorization of 37857 in exponential form is:

37857 = 31 × 126191

Prime Factorization of 37874

Prime factors of 37874 are 2, 29, 653. Prime factorization of 37874 in exponential form is:

37874 = 21 × 291 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 37857 and 37874.

LCM(37857,37874) = 31 × 126191 × 21 × 291 × 6531
LCM(37857,37874) = 1433796018