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What is the Least Common Multiple of 87903 and 87923?

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 87903 and 87923 is 7728695469.

LCM(87903,87923) = 7728695469

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Least Common Multiple of 87903 and 87923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87903 and 87923, than apply into the LCM equation.

GCF(87903,87923) = 1
LCM(87903,87923) = ( 87903 × 87923) / 1
LCM(87903,87923) = 7728695469 / 1
LCM(87903,87923) = 7728695469

Least Common Multiple (LCM) of 87903 and 87923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87903 and 87923. First we will calculate the prime factors of 87903 and 87923.

Prime Factorization of 87903

Prime factors of 87903 are 3, 9767. Prime factorization of 87903 in exponential form is:

87903 = 32 × 97671

Prime Factorization of 87923

Prime factors of 87923 are 11, 7993. Prime factorization of 87923 in exponential form is:

87923 = 111 × 79931

Now multiplying the highest exponent prime factors to calculate the LCM of 87903 and 87923.

LCM(87903,87923) = 32 × 97671 × 111 × 79931
LCM(87903,87923) = 7728695469