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What is the Least Common Multiple of 27609 and 27620?

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 27609 and 27620 is 762560580.

LCM(27609,27620) = 762560580

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Least Common Multiple of 27609 and 27620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27609 and 27620, than apply into the LCM equation.

GCF(27609,27620) = 1
LCM(27609,27620) = ( 27609 × 27620) / 1
LCM(27609,27620) = 762560580 / 1
LCM(27609,27620) = 762560580

Least Common Multiple (LCM) of 27609 and 27620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27609 and 27620. First we will calculate the prime factors of 27609 and 27620.

Prime Factorization of 27609

Prime factors of 27609 are 3, 9203. Prime factorization of 27609 in exponential form is:

27609 = 31 × 92031

Prime Factorization of 27620

Prime factors of 27620 are 2, 5, 1381. Prime factorization of 27620 in exponential form is:

27620 = 22 × 51 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 27609 and 27620.

LCM(27609,27620) = 31 × 92031 × 22 × 51 × 13811
LCM(27609,27620) = 762560580