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What is the Least Common Multiple of 14855 and 14863?

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 14855 and 14863 is 220789865.

LCM(14855,14863) = 220789865

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Least Common Multiple of 14855 and 14863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14855 and 14863, than apply into the LCM equation.

GCF(14855,14863) = 1
LCM(14855,14863) = ( 14855 × 14863) / 1
LCM(14855,14863) = 220789865 / 1
LCM(14855,14863) = 220789865

Least Common Multiple (LCM) of 14855 and 14863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14855 and 14863. First we will calculate the prime factors of 14855 and 14863.

Prime Factorization of 14855

Prime factors of 14855 are 5, 2971. Prime factorization of 14855 in exponential form is:

14855 = 51 × 29711

Prime Factorization of 14863

Prime factors of 14863 are 89, 167. Prime factorization of 14863 in exponential form is:

14863 = 891 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 14855 and 14863.

LCM(14855,14863) = 51 × 29711 × 891 × 1671
LCM(14855,14863) = 220789865