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What is the Least Common Multiple of 27517 and 27533?

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 27517 and 27533 is 757625561.

LCM(27517,27533) = 757625561

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Least Common Multiple of 27517 and 27533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27517 and 27533, than apply into the LCM equation.

GCF(27517,27533) = 1
LCM(27517,27533) = ( 27517 × 27533) / 1
LCM(27517,27533) = 757625561 / 1
LCM(27517,27533) = 757625561

Least Common Multiple (LCM) of 27517 and 27533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27517 and 27533. First we will calculate the prime factors of 27517 and 27533.

Prime Factorization of 27517

Prime factors of 27517 are 7, 3931. Prime factorization of 27517 in exponential form is:

27517 = 71 × 39311

Prime Factorization of 27533

Prime factors of 27533 are 11, 2503. Prime factorization of 27533 in exponential form is:

27533 = 111 × 25031

Now multiplying the highest exponent prime factors to calculate the LCM of 27517 and 27533.

LCM(27517,27533) = 71 × 39311 × 111 × 25031
LCM(27517,27533) = 757625561