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What is the Least Common Multiple of 27577 and 27593?

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 27577 and 27593 is 760932161.

LCM(27577,27593) = 760932161

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Least Common Multiple of 27577 and 27593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27577 and 27593, than apply into the LCM equation.

GCF(27577,27593) = 1
LCM(27577,27593) = ( 27577 × 27593) / 1
LCM(27577,27593) = 760932161 / 1
LCM(27577,27593) = 760932161

Least Common Multiple (LCM) of 27577 and 27593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27577 and 27593. First we will calculate the prime factors of 27577 and 27593.

Prime Factorization of 27577

Prime factors of 27577 are 11, 23, 109. Prime factorization of 27577 in exponential form is:

27577 = 111 × 231 × 1091

Prime Factorization of 27593

Prime factors of 27593 are 41, 673. Prime factorization of 27593 in exponential form is:

27593 = 411 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 27577 and 27593.

LCM(27577,27593) = 111 × 231 × 1091 × 411 × 6731
LCM(27577,27593) = 760932161