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What is the Least Common Multiple of 27571 and 27591?

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 27571 and 27591 is 760711461.

LCM(27571,27591) = 760711461

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Least Common Multiple of 27571 and 27591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27571 and 27591, than apply into the LCM equation.

GCF(27571,27591) = 1
LCM(27571,27591) = ( 27571 × 27591) / 1
LCM(27571,27591) = 760711461 / 1
LCM(27571,27591) = 760711461

Least Common Multiple (LCM) of 27571 and 27591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27571 and 27591. First we will calculate the prime factors of 27571 and 27591.

Prime Factorization of 27571

Prime factors of 27571 are 79, 349. Prime factorization of 27571 in exponential form is:

27571 = 791 × 3491

Prime Factorization of 27591

Prime factors of 27591 are 3, 17, 541. Prime factorization of 27591 in exponential form is:

27591 = 31 × 171 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 27571 and 27591.

LCM(27571,27591) = 791 × 3491 × 31 × 171 × 5411
LCM(27571,27591) = 760711461