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What is the Least Common Multiple of 27503 and 27521?

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 27503 and 27521 is 756910063.

LCM(27503,27521) = 756910063

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Least Common Multiple of 27503 and 27521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27503 and 27521, than apply into the LCM equation.

GCF(27503,27521) = 1
LCM(27503,27521) = ( 27503 × 27521) / 1
LCM(27503,27521) = 756910063 / 1
LCM(27503,27521) = 756910063

Least Common Multiple (LCM) of 27503 and 27521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27503 and 27521. First we will calculate the prime factors of 27503 and 27521.

Prime Factorization of 27503

Prime factors of 27503 are 7, 3929. Prime factorization of 27503 in exponential form is:

27503 = 71 × 39291

Prime Factorization of 27521

Prime factors of 27521 are 13, 29, 73. Prime factorization of 27521 in exponential form is:

27521 = 131 × 291 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 27503 and 27521.

LCM(27503,27521) = 71 × 39291 × 131 × 291 × 731
LCM(27503,27521) = 756910063