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What is the Least Common Multiple of 1784 and 1795?

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 1784 and 1795 is 3202280.

LCM(1784,1795) = 3202280

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Least Common Multiple of 1784 and 1795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1784 and 1795, than apply into the LCM equation.

GCF(1784,1795) = 1
LCM(1784,1795) = ( 1784 × 1795) / 1
LCM(1784,1795) = 3202280 / 1
LCM(1784,1795) = 3202280

Least Common Multiple (LCM) of 1784 and 1795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1784 and 1795. First we will calculate the prime factors of 1784 and 1795.

Prime Factorization of 1784

Prime factors of 1784 are 2, 223. Prime factorization of 1784 in exponential form is:

1784 = 23 × 2231

Prime Factorization of 1795

Prime factors of 1795 are 5, 359. Prime factorization of 1795 in exponential form is:

1795 = 51 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 1784 and 1795.

LCM(1784,1795) = 23 × 2231 × 51 × 3591
LCM(1784,1795) = 3202280