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What is the Least Common Multiple of 55796 and 55814?

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 55796 and 55814 is 1557098972.

LCM(55796,55814) = 1557098972

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Least Common Multiple of 55796 and 55814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55796 and 55814, than apply into the LCM equation.

GCF(55796,55814) = 2
LCM(55796,55814) = ( 55796 × 55814) / 2
LCM(55796,55814) = 3114197944 / 2
LCM(55796,55814) = 1557098972

Least Common Multiple (LCM) of 55796 and 55814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55796 and 55814. First we will calculate the prime factors of 55796 and 55814.

Prime Factorization of 55796

Prime factors of 55796 are 2, 13, 29, 37. Prime factorization of 55796 in exponential form is:

55796 = 22 × 131 × 291 × 371

Prime Factorization of 55814

Prime factors of 55814 are 2, 11, 43, 59. Prime factorization of 55814 in exponential form is:

55814 = 21 × 111 × 431 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 55796 and 55814.

LCM(55796,55814) = 22 × 131 × 291 × 371 × 111 × 431 × 591
LCM(55796,55814) = 1557098972