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What is the Least Common Multiple of 27952 and 27965?

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 27965 is 781677680.

LCM(27952,27965) = 781677680

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Least Common Multiple of 27952 and 27965 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 27965, than apply into the LCM equation.

GCF(27952,27965) = 1
LCM(27952,27965) = ( 27952 × 27965) / 1
LCM(27952,27965) = 781677680 / 1
LCM(27952,27965) = 781677680

Least Common Multiple (LCM) of 27952 and 27965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27952 and 27965. First we will calculate the prime factors of 27952 and 27965.

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 27965

Prime factors of 27965 are 5, 7, 17, 47. Prime factorization of 27965 in exponential form is:

27965 = 51 × 71 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 27952 and 27965.

LCM(27952,27965) = 24 × 17471 × 51 × 71 × 171 × 471
LCM(27952,27965) = 781677680