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What is the Least Common Multiple of 37436 and 37447?

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 37436 and 37447 is 1401865892.

LCM(37436,37447) = 1401865892

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Least Common Multiple of 37436 and 37447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37436 and 37447, than apply into the LCM equation.

GCF(37436,37447) = 1
LCM(37436,37447) = ( 37436 × 37447) / 1
LCM(37436,37447) = 1401865892 / 1
LCM(37436,37447) = 1401865892

Least Common Multiple (LCM) of 37436 and 37447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37436 and 37447. First we will calculate the prime factors of 37436 and 37447.

Prime Factorization of 37436

Prime factors of 37436 are 2, 7, 191. Prime factorization of 37436 in exponential form is:

37436 = 22 × 72 × 1911

Prime Factorization of 37447

Prime factors of 37447 are 37447. Prime factorization of 37447 in exponential form is:

37447 = 374471

Now multiplying the highest exponent prime factors to calculate the LCM of 37436 and 37447.

LCM(37436,37447) = 22 × 72 × 1911 × 374471
LCM(37436,37447) = 1401865892