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What is the Least Common Multiple of 87433 and 87439?

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 87433 and 87439 is 7645054087.

LCM(87433,87439) = 7645054087

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Least Common Multiple of 87433 and 87439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87433 and 87439, than apply into the LCM equation.

GCF(87433,87439) = 1
LCM(87433,87439) = ( 87433 × 87439) / 1
LCM(87433,87439) = 7645054087 / 1
LCM(87433,87439) = 7645054087

Least Common Multiple (LCM) of 87433 and 87439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87433 and 87439. First we will calculate the prime factors of 87433 and 87439.

Prime Factorization of 87433

Prime factors of 87433 are 87433. Prime factorization of 87433 in exponential form is:

87433 = 874331

Prime Factorization of 87439

Prime factors of 87439 are 11, 7949. Prime factorization of 87439 in exponential form is:

87439 = 111 × 79491

Now multiplying the highest exponent prime factors to calculate the LCM of 87433 and 87439.

LCM(87433,87439) = 874331 × 111 × 79491
LCM(87433,87439) = 7645054087