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What is the Least Common Multiple of 27902 and 27922?

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 27902 and 27922 is 389539822.

LCM(27902,27922) = 389539822

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Least Common Multiple of 27902 and 27922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27902 and 27922, than apply into the LCM equation.

GCF(27902,27922) = 2
LCM(27902,27922) = ( 27902 × 27922) / 2
LCM(27902,27922) = 779079644 / 2
LCM(27902,27922) = 389539822

Least Common Multiple (LCM) of 27902 and 27922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27902 and 27922. First we will calculate the prime factors of 27902 and 27922.

Prime Factorization of 27902

Prime factors of 27902 are 2, 7, 1993. Prime factorization of 27902 in exponential form is:

27902 = 21 × 71 × 19931

Prime Factorization of 27922

Prime factors of 27922 are 2, 23, 607. Prime factorization of 27922 in exponential form is:

27922 = 21 × 231 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 27902 and 27922.

LCM(27902,27922) = 21 × 71 × 19931 × 231 × 6071
LCM(27902,27922) = 389539822