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What is the Least Common Multiple of 27759 and 27763?

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 27759 and 27763 is 770673117.

LCM(27759,27763) = 770673117

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Least Common Multiple of 27759 and 27763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27759 and 27763, than apply into the LCM equation.

GCF(27759,27763) = 1
LCM(27759,27763) = ( 27759 × 27763) / 1
LCM(27759,27763) = 770673117 / 1
LCM(27759,27763) = 770673117

Least Common Multiple (LCM) of 27759 and 27763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27759 and 27763. First we will calculate the prime factors of 27759 and 27763.

Prime Factorization of 27759

Prime factors of 27759 are 3, 19, 487. Prime factorization of 27759 in exponential form is:

27759 = 31 × 191 × 4871

Prime Factorization of 27763

Prime factors of 27763 are 27763. Prime factorization of 27763 in exponential form is:

27763 = 277631

Now multiplying the highest exponent prime factors to calculate the LCM of 27759 and 27763.

LCM(27759,27763) = 31 × 191 × 4871 × 277631
LCM(27759,27763) = 770673117