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What is the Least Common Multiple of 27953 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 27953 and 27960 is 781565880.

LCM(27953,27960) = 781565880

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Least Common Multiple of 27953 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 27953 and 27960, than apply into the LCM equation.

GCF(27953,27960) = 1
LCM(27953,27960) = ( 27953 × 27960) / 1
LCM(27953,27960) = 781565880 / 1
LCM(27953,27960) = 781565880

Least Common Multiple (LCM) of 27953 and 27960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27953 and 27960. First we will calculate the prime factors of 27953 and 27960.

Prime Factorization of 27953

Prime factors of 27953 are 27953. Prime factorization of 27953 in exponential form is:

27953 = 279531

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 27953 and 27960.

LCM(27953,27960) = 279531 × 23 × 31 × 51 × 2331
LCM(27953,27960) = 781565880