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What is the Least Common Multiple of 27644 and 27657?

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 27644 and 27657 is 764550108.

LCM(27644,27657) = 764550108

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Least Common Multiple of 27644 and 27657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27644 and 27657, than apply into the LCM equation.

GCF(27644,27657) = 1
LCM(27644,27657) = ( 27644 × 27657) / 1
LCM(27644,27657) = 764550108 / 1
LCM(27644,27657) = 764550108

Least Common Multiple (LCM) of 27644 and 27657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27644 and 27657. First we will calculate the prime factors of 27644 and 27657.

Prime Factorization of 27644

Prime factors of 27644 are 2, 6911. Prime factorization of 27644 in exponential form is:

27644 = 22 × 69111

Prime Factorization of 27657

Prime factors of 27657 are 3, 7, 439. Prime factorization of 27657 in exponential form is:

27657 = 32 × 71 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 27644 and 27657.

LCM(27644,27657) = 22 × 69111 × 32 × 71 × 4391
LCM(27644,27657) = 764550108