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What is the Least Common Multiple of 27754 and 27769?

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 27754 and 27769 is 770700826.

LCM(27754,27769) = 770700826

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Least Common Multiple of 27754 and 27769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27754 and 27769, than apply into the LCM equation.

GCF(27754,27769) = 1
LCM(27754,27769) = ( 27754 × 27769) / 1
LCM(27754,27769) = 770700826 / 1
LCM(27754,27769) = 770700826

Least Common Multiple (LCM) of 27754 and 27769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27754 and 27769. First we will calculate the prime factors of 27754 and 27769.

Prime Factorization of 27754

Prime factors of 27754 are 2, 13877. Prime factorization of 27754 in exponential form is:

27754 = 21 × 138771

Prime Factorization of 27769

Prime factors of 27769 are 7, 3967. Prime factorization of 27769 in exponential form is:

27769 = 71 × 39671

Now multiplying the highest exponent prime factors to calculate the LCM of 27754 and 27769.

LCM(27754,27769) = 21 × 138771 × 71 × 39671
LCM(27754,27769) = 770700826