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What is the Least Common Multiple of 37132 and 37139?

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 37132 and 37139 is 1379045348.

LCM(37132,37139) = 1379045348

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Least Common Multiple of 37132 and 37139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37132 and 37139, than apply into the LCM equation.

GCF(37132,37139) = 1
LCM(37132,37139) = ( 37132 × 37139) / 1
LCM(37132,37139) = 1379045348 / 1
LCM(37132,37139) = 1379045348

Least Common Multiple (LCM) of 37132 and 37139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37132 and 37139. First we will calculate the prime factors of 37132 and 37139.

Prime Factorization of 37132

Prime factors of 37132 are 2, 9283. Prime factorization of 37132 in exponential form is:

37132 = 22 × 92831

Prime Factorization of 37139

Prime factors of 37139 are 37139. Prime factorization of 37139 in exponential form is:

37139 = 371391

Now multiplying the highest exponent prime factors to calculate the LCM of 37132 and 37139.

LCM(37132,37139) = 22 × 92831 × 371391
LCM(37132,37139) = 1379045348