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What is the Least Common Multiple of 14691 and 14703?

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 14691 and 14703 is 72000591.

LCM(14691,14703) = 72000591

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Least Common Multiple of 14691 and 14703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14691 and 14703, than apply into the LCM equation.

GCF(14691,14703) = 3
LCM(14691,14703) = ( 14691 × 14703) / 3
LCM(14691,14703) = 216001773 / 3
LCM(14691,14703) = 72000591

Least Common Multiple (LCM) of 14691 and 14703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14691 and 14703. First we will calculate the prime factors of 14691 and 14703.

Prime Factorization of 14691

Prime factors of 14691 are 3, 59, 83. Prime factorization of 14691 in exponential form is:

14691 = 31 × 591 × 831

Prime Factorization of 14703

Prime factors of 14703 are 3, 13, 29. Prime factorization of 14703 in exponential form is:

14703 = 31 × 132 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 14691 and 14703.

LCM(14691,14703) = 31 × 591 × 831 × 132 × 291
LCM(14691,14703) = 72000591