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What is the Least Common Multiple of 1755 and 1773?

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 1755 and 1773 is 345735.

LCM(1755,1773) = 345735

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Least Common Multiple of 1755 and 1773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1755 and 1773, than apply into the LCM equation.

GCF(1755,1773) = 9
LCM(1755,1773) = ( 1755 × 1773) / 9
LCM(1755,1773) = 3111615 / 9
LCM(1755,1773) = 345735

Least Common Multiple (LCM) of 1755 and 1773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1755 and 1773. First we will calculate the prime factors of 1755 and 1773.

Prime Factorization of 1755

Prime factors of 1755 are 3, 5, 13. Prime factorization of 1755 in exponential form is:

1755 = 33 × 51 × 131

Prime Factorization of 1773

Prime factors of 1773 are 3, 197. Prime factorization of 1773 in exponential form is:

1773 = 32 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 1755 and 1773.

LCM(1755,1773) = 33 × 51 × 131 × 1971
LCM(1755,1773) = 345735