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What is the Least Common Multiple of 35771 and 35790?

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 35771 and 35790 is 1280244090.

LCM(35771,35790) = 1280244090

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Least Common Multiple of 35771 and 35790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35771 and 35790, than apply into the LCM equation.

GCF(35771,35790) = 1
LCM(35771,35790) = ( 35771 × 35790) / 1
LCM(35771,35790) = 1280244090 / 1
LCM(35771,35790) = 1280244090

Least Common Multiple (LCM) of 35771 and 35790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35771 and 35790. First we will calculate the prime factors of 35771 and 35790.

Prime Factorization of 35771

Prime factors of 35771 are 35771. Prime factorization of 35771 in exponential form is:

35771 = 357711

Prime Factorization of 35790

Prime factors of 35790 are 2, 3, 5, 1193. Prime factorization of 35790 in exponential form is:

35790 = 21 × 31 × 51 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 35771 and 35790.

LCM(35771,35790) = 357711 × 21 × 31 × 51 × 11931
LCM(35771,35790) = 1280244090