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What is the Least Common Multiple of 87437 and 87447?

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 87437 and 87447 is 7646103339.

LCM(87437,87447) = 7646103339

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Least Common Multiple of 87437 and 87447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87437 and 87447, than apply into the LCM equation.

GCF(87437,87447) = 1
LCM(87437,87447) = ( 87437 × 87447) / 1
LCM(87437,87447) = 7646103339 / 1
LCM(87437,87447) = 7646103339

Least Common Multiple (LCM) of 87437 and 87447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87437 and 87447. First we will calculate the prime factors of 87437 and 87447.

Prime Factorization of 87437

Prime factors of 87437 are 7, 12491. Prime factorization of 87437 in exponential form is:

87437 = 71 × 124911

Prime Factorization of 87447

Prime factors of 87447 are 3, 103, 283. Prime factorization of 87447 in exponential form is:

87447 = 31 × 1031 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 87437 and 87447.

LCM(87437,87447) = 71 × 124911 × 31 × 1031 × 2831
LCM(87437,87447) = 7646103339