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What is the Least Common Multiple of 18762 and 18779?

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 18762 and 18779 is 352331598.

LCM(18762,18779) = 352331598

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Least Common Multiple of 18762 and 18779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18762 and 18779, than apply into the LCM equation.

GCF(18762,18779) = 1
LCM(18762,18779) = ( 18762 × 18779) / 1
LCM(18762,18779) = 352331598 / 1
LCM(18762,18779) = 352331598

Least Common Multiple (LCM) of 18762 and 18779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18762 and 18779. First we will calculate the prime factors of 18762 and 18779.

Prime Factorization of 18762

Prime factors of 18762 are 2, 3, 53, 59. Prime factorization of 18762 in exponential form is:

18762 = 21 × 31 × 531 × 591

Prime Factorization of 18779

Prime factors of 18779 are 89, 211. Prime factorization of 18779 in exponential form is:

18779 = 891 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 18762 and 18779.

LCM(18762,18779) = 21 × 31 × 531 × 591 × 891 × 2111
LCM(18762,18779) = 352331598