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What is the Least Common Multiple of 27759 and 27764?

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 27764 is 770700876.

LCM(27759,27764) = 770700876

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Least Common Multiple of 27759 and 27764 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 27764, than apply into the LCM equation.

GCF(27759,27764) = 1
LCM(27759,27764) = ( 27759 × 27764) / 1
LCM(27759,27764) = 770700876 / 1
LCM(27759,27764) = 770700876

Least Common Multiple (LCM) of 27759 and 27764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27759 and 27764. First we will calculate the prime factors of 27759 and 27764.

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 27764

Prime factors of 27764 are 2, 11, 631. Prime factorization of 27764 in exponential form is:

27764 = 22 × 111 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 27759 and 27764.

LCM(27759,27764) = 31 × 191 × 4871 × 22 × 111 × 6311
LCM(27759,27764) = 770700876