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What is the Least Common Multiple of 27939 and 27952?

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 27939 and 27952 is 780950928.

LCM(27939,27952) = 780950928

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Least Common Multiple of 27939 and 27952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27939 and 27952, than apply into the LCM equation.

GCF(27939,27952) = 1
LCM(27939,27952) = ( 27939 × 27952) / 1
LCM(27939,27952) = 780950928 / 1
LCM(27939,27952) = 780950928

Least Common Multiple (LCM) of 27939 and 27952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27939 and 27952. First we will calculate the prime factors of 27939 and 27952.

Prime Factorization of 27939

Prime factors of 27939 are 3, 67, 139. Prime factorization of 27939 in exponential form is:

27939 = 31 × 671 × 1391

Prime Factorization of 27952

Prime factors of 27952 are 2, 1747. Prime factorization of 27952 in exponential form is:

27952 = 24 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 27939 and 27952.

LCM(27939,27952) = 31 × 671 × 1391 × 24 × 17471
LCM(27939,27952) = 780950928