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What is the Least Common Multiple of 27514 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 27514 and 27533 is 757542962.

LCM(27514,27533) = 757542962

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Least Common Multiple of 27514 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 27514 and 27533, than apply into the LCM equation.

GCF(27514,27533) = 1
LCM(27514,27533) = ( 27514 × 27533) / 1
LCM(27514,27533) = 757542962 / 1
LCM(27514,27533) = 757542962

Least Common Multiple (LCM) of 27514 and 27533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27514 and 27533. First we will calculate the prime factors of 27514 and 27533.

Prime Factorization of 27514

Prime factors of 27514 are 2, 13757. Prime factorization of 27514 in exponential form is:

27514 = 21 × 137571

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 27514 and 27533.

LCM(27514,27533) = 21 × 137571 × 111 × 25031
LCM(27514,27533) = 757542962