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What is the Least Common Multiple of 37447 and 37467?

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 37447 and 37467 is 1403026749.

LCM(37447,37467) = 1403026749

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Least Common Multiple of 37447 and 37467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37447 and 37467, than apply into the LCM equation.

GCF(37447,37467) = 1
LCM(37447,37467) = ( 37447 × 37467) / 1
LCM(37447,37467) = 1403026749 / 1
LCM(37447,37467) = 1403026749

Least Common Multiple (LCM) of 37447 and 37467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37447 and 37467. First we will calculate the prime factors of 37447 and 37467.

Prime Factorization of 37447

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

37447 = 374471

Prime Factorization of 37467

Prime factors of 37467 are 3, 23, 181. Prime factorization of 37467 in exponential form is:

37467 = 32 × 231 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 37447 and 37467.

LCM(37447,37467) = 374471 × 32 × 231 × 1811
LCM(37447,37467) = 1403026749