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What is the Least Common Multiple of 17780 and 17791?

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 17780 and 17791 is 316323980.

LCM(17780,17791) = 316323980

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Least Common Multiple of 17780 and 17791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17780 and 17791, than apply into the LCM equation.

GCF(17780,17791) = 1
LCM(17780,17791) = ( 17780 × 17791) / 1
LCM(17780,17791) = 316323980 / 1
LCM(17780,17791) = 316323980

Least Common Multiple (LCM) of 17780 and 17791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17780 and 17791. First we will calculate the prime factors of 17780 and 17791.

Prime Factorization of 17780

Prime factors of 17780 are 2, 5, 7, 127. Prime factorization of 17780 in exponential form is:

17780 = 22 × 51 × 71 × 1271

Prime Factorization of 17791

Prime factors of 17791 are 17791. Prime factorization of 17791 in exponential form is:

17791 = 177911

Now multiplying the highest exponent prime factors to calculate the LCM of 17780 and 17791.

LCM(17780,17791) = 22 × 51 × 71 × 1271 × 177911
LCM(17780,17791) = 316323980