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What is the Least Common Multiple of 27611 and 27616?

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 27611 and 27616 is 762505376.

LCM(27611,27616) = 762505376

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Least Common Multiple of 27611 and 27616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27611 and 27616, than apply into the LCM equation.

GCF(27611,27616) = 1
LCM(27611,27616) = ( 27611 × 27616) / 1
LCM(27611,27616) = 762505376 / 1
LCM(27611,27616) = 762505376

Least Common Multiple (LCM) of 27611 and 27616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27611 and 27616. First we will calculate the prime factors of 27611 and 27616.

Prime Factorization of 27611

Prime factors of 27611 are 27611. Prime factorization of 27611 in exponential form is:

27611 = 276111

Prime Factorization of 27616

Prime factors of 27616 are 2, 863. Prime factorization of 27616 in exponential form is:

27616 = 25 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 27611 and 27616.

LCM(27611,27616) = 276111 × 25 × 8631
LCM(27611,27616) = 762505376