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What is the Least Common Multiple of 27703 and 27708?

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 27703 and 27708 is 767594724.

LCM(27703,27708) = 767594724

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Least Common Multiple of 27703 and 27708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27703 and 27708, than apply into the LCM equation.

GCF(27703,27708) = 1
LCM(27703,27708) = ( 27703 × 27708) / 1
LCM(27703,27708) = 767594724 / 1
LCM(27703,27708) = 767594724

Least Common Multiple (LCM) of 27703 and 27708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27703 and 27708. First we will calculate the prime factors of 27703 and 27708.

Prime Factorization of 27703

Prime factors of 27703 are 13, 2131. Prime factorization of 27703 in exponential form is:

27703 = 131 × 21311

Prime Factorization of 27708

Prime factors of 27708 are 2, 3, 2309. Prime factorization of 27708 in exponential form is:

27708 = 22 × 31 × 23091

Now multiplying the highest exponent prime factors to calculate the LCM of 27703 and 27708.

LCM(27703,27708) = 131 × 21311 × 22 × 31 × 23091
LCM(27703,27708) = 767594724