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What is the Least Common Multiple of 27705 and 27719?

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 27705 and 27719 is 767954895.

LCM(27705,27719) = 767954895

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Least Common Multiple of 27705 and 27719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27705 and 27719, than apply into the LCM equation.

GCF(27705,27719) = 1
LCM(27705,27719) = ( 27705 × 27719) / 1
LCM(27705,27719) = 767954895 / 1
LCM(27705,27719) = 767954895

Least Common Multiple (LCM) of 27705 and 27719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27705 and 27719. First we will calculate the prime factors of 27705 and 27719.

Prime Factorization of 27705

Prime factors of 27705 are 3, 5, 1847. Prime factorization of 27705 in exponential form is:

27705 = 31 × 51 × 18471

Prime Factorization of 27719

Prime factors of 27719 are 53, 523. Prime factorization of 27719 in exponential form is:

27719 = 531 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 27705 and 27719.

LCM(27705,27719) = 31 × 51 × 18471 × 531 × 5231
LCM(27705,27719) = 767954895