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What is the Least Common Multiple of 13783 and 13795?

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 13795 is 190136485.

LCM(13783,13795) = 190136485

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Least Common Multiple of 13783 and 13795 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 13795, than apply into the LCM equation.

GCF(13783,13795) = 1
LCM(13783,13795) = ( 13783 × 13795) / 1
LCM(13783,13795) = 190136485 / 1
LCM(13783,13795) = 190136485

Least Common Multiple (LCM) of 13783 and 13795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13783 and 13795. First we will calculate the prime factors of 13783 and 13795.

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 13795

Prime factors of 13795 are 5, 31, 89. Prime factorization of 13795 in exponential form is:

13795 = 51 × 311 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 13783 and 13795.

LCM(13783,13795) = 71 × 111 × 1791 × 51 × 311 × 891
LCM(13783,13795) = 190136485