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What is the Least Common Multiple of 18773 and 18787?

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 18773 and 18787 is 352688351.

LCM(18773,18787) = 352688351

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Least Common Multiple of 18773 and 18787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18773 and 18787, than apply into the LCM equation.

GCF(18773,18787) = 1
LCM(18773,18787) = ( 18773 × 18787) / 1
LCM(18773,18787) = 352688351 / 1
LCM(18773,18787) = 352688351

Least Common Multiple (LCM) of 18773 and 18787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18773 and 18787. First we will calculate the prime factors of 18773 and 18787.

Prime Factorization of 18773

Prime factors of 18773 are 18773. Prime factorization of 18773 in exponential form is:

18773 = 187731

Prime Factorization of 18787

Prime factors of 18787 are 18787. Prime factorization of 18787 in exponential form is:

18787 = 187871

Now multiplying the highest exponent prime factors to calculate the LCM of 18773 and 18787.

LCM(18773,18787) = 187731 × 187871
LCM(18773,18787) = 352688351