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What is the Least Common Multiple of 22927 and 22935?

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 22927 and 22935 is 525830745.

LCM(22927,22935) = 525830745

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Least Common Multiple of 22927 and 22935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22927 and 22935, than apply into the LCM equation.

GCF(22927,22935) = 1
LCM(22927,22935) = ( 22927 × 22935) / 1
LCM(22927,22935) = 525830745 / 1
LCM(22927,22935) = 525830745

Least Common Multiple (LCM) of 22927 and 22935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22927 and 22935. First we will calculate the prime factors of 22927 and 22935.

Prime Factorization of 22927

Prime factors of 22927 are 101, 227. Prime factorization of 22927 in exponential form is:

22927 = 1011 × 2271

Prime Factorization of 22935

Prime factors of 22935 are 3, 5, 11, 139. Prime factorization of 22935 in exponential form is:

22935 = 31 × 51 × 111 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 22927 and 22935.

LCM(22927,22935) = 1011 × 2271 × 31 × 51 × 111 × 1391
LCM(22927,22935) = 525830745