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What is the Least Common Multiple of 1769 and 1785?

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 1769 and 1785 is 3157665.

LCM(1769,1785) = 3157665

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Least Common Multiple of 1769 and 1785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1769 and 1785, than apply into the LCM equation.

GCF(1769,1785) = 1
LCM(1769,1785) = ( 1769 × 1785) / 1
LCM(1769,1785) = 3157665 / 1
LCM(1769,1785) = 3157665

Least Common Multiple (LCM) of 1769 and 1785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1769 and 1785. First we will calculate the prime factors of 1769 and 1785.

Prime Factorization of 1769

Prime factors of 1769 are 29, 61. Prime factorization of 1769 in exponential form is:

1769 = 291 × 611

Prime Factorization of 1785

Prime factors of 1785 are 3, 5, 7, 17. Prime factorization of 1785 in exponential form is:

1785 = 31 × 51 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 1769 and 1785.

LCM(1769,1785) = 291 × 611 × 31 × 51 × 71 × 171
LCM(1769,1785) = 3157665