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What is the Least Common Multiple of 1754 and 1765?

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 1754 and 1765 is 3095810.

LCM(1754,1765) = 3095810

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Least Common Multiple of 1754 and 1765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1754 and 1765, than apply into the LCM equation.

GCF(1754,1765) = 1
LCM(1754,1765) = ( 1754 × 1765) / 1
LCM(1754,1765) = 3095810 / 1
LCM(1754,1765) = 3095810

Least Common Multiple (LCM) of 1754 and 1765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1754 and 1765. First we will calculate the prime factors of 1754 and 1765.

Prime Factorization of 1754

Prime factors of 1754 are 2, 877. Prime factorization of 1754 in exponential form is:

1754 = 21 × 8771

Prime Factorization of 1765

Prime factors of 1765 are 5, 353. Prime factorization of 1765 in exponential form is:

1765 = 51 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 1754 and 1765.

LCM(1754,1765) = 21 × 8771 × 51 × 3531
LCM(1754,1765) = 3095810