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What is the Least Common Multiple of 22913 and 22927?

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 22913 and 22927 is 525326351.

LCM(22913,22927) = 525326351

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Least Common Multiple of 22913 and 22927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22913 and 22927, than apply into the LCM equation.

GCF(22913,22927) = 1
LCM(22913,22927) = ( 22913 × 22927) / 1
LCM(22913,22927) = 525326351 / 1
LCM(22913,22927) = 525326351

Least Common Multiple (LCM) of 22913 and 22927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22913 and 22927. First we will calculate the prime factors of 22913 and 22927.

Prime Factorization of 22913

Prime factors of 22913 are 11, 2083. Prime factorization of 22913 in exponential form is:

22913 = 111 × 20831

Prime Factorization of 22927

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

22927 = 1011 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 22913 and 22927.

LCM(22913,22927) = 111 × 20831 × 1011 × 2271
LCM(22913,22927) = 525326351