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What is the Least Common Multiple of 27753 and 27766?

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 27753 and 27766 is 770589798.

LCM(27753,27766) = 770589798

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Least Common Multiple of 27753 and 27766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27753 and 27766, than apply into the LCM equation.

GCF(27753,27766) = 1
LCM(27753,27766) = ( 27753 × 27766) / 1
LCM(27753,27766) = 770589798 / 1
LCM(27753,27766) = 770589798

Least Common Multiple (LCM) of 27753 and 27766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27753 and 27766. First we will calculate the prime factors of 27753 and 27766.

Prime Factorization of 27753

Prime factors of 27753 are 3, 11, 29. Prime factorization of 27753 in exponential form is:

27753 = 31 × 111 × 292

Prime Factorization of 27766

Prime factors of 27766 are 2, 13883. Prime factorization of 27766 in exponential form is:

27766 = 21 × 138831

Now multiplying the highest exponent prime factors to calculate the LCM of 27753 and 27766.

LCM(27753,27766) = 31 × 111 × 292 × 21 × 138831
LCM(27753,27766) = 770589798