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What is the Least Common Multiple of 27901 and 27916?

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 27901 and 27916 is 778884316.

LCM(27901,27916) = 778884316

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Least Common Multiple of 27901 and 27916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27901 and 27916, than apply into the LCM equation.

GCF(27901,27916) = 1
LCM(27901,27916) = ( 27901 × 27916) / 1
LCM(27901,27916) = 778884316 / 1
LCM(27901,27916) = 778884316

Least Common Multiple (LCM) of 27901 and 27916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27901 and 27916. First we will calculate the prime factors of 27901 and 27916.

Prime Factorization of 27901

Prime factors of 27901 are 27901. Prime factorization of 27901 in exponential form is:

27901 = 279011

Prime Factorization of 27916

Prime factors of 27916 are 2, 7, 997. Prime factorization of 27916 in exponential form is:

27916 = 22 × 71 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 27901 and 27916.

LCM(27901,27916) = 279011 × 22 × 71 × 9971
LCM(27901,27916) = 778884316