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What is the Least Common Multiple of 27673 and 27688?

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 27673 and 27688 is 766210024.

LCM(27673,27688) = 766210024

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Least Common Multiple of 27673 and 27688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27673 and 27688, than apply into the LCM equation.

GCF(27673,27688) = 1
LCM(27673,27688) = ( 27673 × 27688) / 1
LCM(27673,27688) = 766210024 / 1
LCM(27673,27688) = 766210024

Least Common Multiple (LCM) of 27673 and 27688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27673 and 27688. First we will calculate the prime factors of 27673 and 27688.

Prime Factorization of 27673

Prime factors of 27673 are 27673. Prime factorization of 27673 in exponential form is:

27673 = 276731

Prime Factorization of 27688

Prime factors of 27688 are 2, 3461. Prime factorization of 27688 in exponential form is:

27688 = 23 × 34611

Now multiplying the highest exponent prime factors to calculate the LCM of 27673 and 27688.

LCM(27673,27688) = 276731 × 23 × 34611
LCM(27673,27688) = 766210024