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What is the Least Common Multiple of 37863 and 37882?

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 37863 and 37882 is 1434326166.

LCM(37863,37882) = 1434326166

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Least Common Multiple of 37863 and 37882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37863 and 37882, than apply into the LCM equation.

GCF(37863,37882) = 1
LCM(37863,37882) = ( 37863 × 37882) / 1
LCM(37863,37882) = 1434326166 / 1
LCM(37863,37882) = 1434326166

Least Common Multiple (LCM) of 37863 and 37882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37863 and 37882. First we will calculate the prime factors of 37863 and 37882.

Prime Factorization of 37863

Prime factors of 37863 are 3, 7, 601. Prime factorization of 37863 in exponential form is:

37863 = 32 × 71 × 6011

Prime Factorization of 37882

Prime factors of 37882 are 2, 13, 31, 47. Prime factorization of 37882 in exponential form is:

37882 = 21 × 131 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 37863 and 37882.

LCM(37863,37882) = 32 × 71 × 6011 × 21 × 131 × 311 × 471
LCM(37863,37882) = 1434326166