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What is the Least Common Multiple of 18704 and 18712?

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 18704 and 18712 is 43748656.

LCM(18704,18712) = 43748656

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Least Common Multiple of 18704 and 18712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18704 and 18712, than apply into the LCM equation.

GCF(18704,18712) = 8
LCM(18704,18712) = ( 18704 × 18712) / 8
LCM(18704,18712) = 349989248 / 8
LCM(18704,18712) = 43748656

Least Common Multiple (LCM) of 18704 and 18712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18704 and 18712. First we will calculate the prime factors of 18704 and 18712.

Prime Factorization of 18704

Prime factors of 18704 are 2, 7, 167. Prime factorization of 18704 in exponential form is:

18704 = 24 × 71 × 1671

Prime Factorization of 18712

Prime factors of 18712 are 2, 2339. Prime factorization of 18712 in exponential form is:

18712 = 23 × 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 18704 and 18712.

LCM(18704,18712) = 24 × 71 × 1671 × 23391
LCM(18704,18712) = 43748656