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What is the Least Common Multiple of 13783 and 13798?

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 13783 and 13798 is 190177834.

LCM(13783,13798) = 190177834

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Least Common Multiple of 13783 and 13798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13783 and 13798, than apply into the LCM equation.

GCF(13783,13798) = 1
LCM(13783,13798) = ( 13783 × 13798) / 1
LCM(13783,13798) = 190177834 / 1
LCM(13783,13798) = 190177834

Least Common Multiple (LCM) of 13783 and 13798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13783 and 13798. First we will calculate the prime factors of 13783 and 13798.

Prime Factorization of 13783

Prime factors of 13783 are 7, 11, 179. Prime factorization of 13783 in exponential form is:

13783 = 71 × 111 × 1791

Prime Factorization of 13798

Prime factors of 13798 are 2, 6899. Prime factorization of 13798 in exponential form is:

13798 = 21 × 68991

Now multiplying the highest exponent prime factors to calculate the LCM of 13783 and 13798.

LCM(13783,13798) = 71 × 111 × 1791 × 21 × 68991
LCM(13783,13798) = 190177834