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What is the Least Common Multiple of 37187 and 37207?

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 37187 and 37207 is 1383616709.

LCM(37187,37207) = 1383616709

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Least Common Multiple of 37187 and 37207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37187 and 37207, than apply into the LCM equation.

GCF(37187,37207) = 1
LCM(37187,37207) = ( 37187 × 37207) / 1
LCM(37187,37207) = 1383616709 / 1
LCM(37187,37207) = 1383616709

Least Common Multiple (LCM) of 37187 and 37207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37187 and 37207. First we will calculate the prime factors of 37187 and 37207.

Prime Factorization of 37187

Prime factors of 37187 are 41, 907. Prime factorization of 37187 in exponential form is:

37187 = 411 × 9071

Prime Factorization of 37207

Prime factors of 37207 are 29, 1283. Prime factorization of 37207 in exponential form is:

37207 = 291 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 37187 and 37207.

LCM(37187,37207) = 411 × 9071 × 291 × 12831
LCM(37187,37207) = 1383616709