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What is the Least Common Multiple of 22927 and 22942?

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 22942 is 525991234.

LCM(22927,22942) = 525991234

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Least Common Multiple of 22927 and 22942 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 22942, than apply into the LCM equation.

GCF(22927,22942) = 1
LCM(22927,22942) = ( 22927 × 22942) / 1
LCM(22927,22942) = 525991234 / 1
LCM(22927,22942) = 525991234

Least Common Multiple (LCM) of 22927 and 22942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22927 and 22942. First we will calculate the prime factors of 22927 and 22942.

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 22942

Prime factors of 22942 are 2, 11471. Prime factorization of 22942 in exponential form is:

22942 = 21 × 114711

Now multiplying the highest exponent prime factors to calculate the LCM of 22927 and 22942.

LCM(22927,22942) = 1011 × 2271 × 21 × 114711
LCM(22927,22942) = 525991234