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What is the Least Common Multiple of 27952 and 27960?

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 27952 and 27960 is 97692240.

LCM(27952,27960) = 97692240

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Least Common Multiple of 27952 and 27960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27952 and 27960, than apply into the LCM equation.

GCF(27952,27960) = 8
LCM(27952,27960) = ( 27952 × 27960) / 8
LCM(27952,27960) = 781537920 / 8
LCM(27952,27960) = 97692240

Least Common Multiple (LCM) of 27952 and 27960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27952 and 27960. First we will calculate the prime factors of 27952 and 27960.

Prime Factorization of 27952

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

27952 = 24 × 17471

Prime Factorization of 27960

Prime factors of 27960 are 2, 3, 5, 233. Prime factorization of 27960 in exponential form is:

27960 = 23 × 31 × 51 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 27952 and 27960.

LCM(27952,27960) = 24 × 17471 × 31 × 51 × 2331
LCM(27952,27960) = 97692240