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What is the Least Common Multiple of 14699 and 14710?

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 14699 and 14710 is 216222290.

LCM(14699,14710) = 216222290

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Least Common Multiple of 14699 and 14710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14699 and 14710, than apply into the LCM equation.

GCF(14699,14710) = 1
LCM(14699,14710) = ( 14699 × 14710) / 1
LCM(14699,14710) = 216222290 / 1
LCM(14699,14710) = 216222290

Least Common Multiple (LCM) of 14699 and 14710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14699 and 14710. First we will calculate the prime factors of 14699 and 14710.

Prime Factorization of 14699

Prime factors of 14699 are 14699. Prime factorization of 14699 in exponential form is:

14699 = 146991

Prime Factorization of 14710

Prime factors of 14710 are 2, 5, 1471. Prime factorization of 14710 in exponential form is:

14710 = 21 × 51 × 14711

Now multiplying the highest exponent prime factors to calculate the LCM of 14699 and 14710.

LCM(14699,14710) = 146991 × 21 × 51 × 14711
LCM(14699,14710) = 216222290