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What is the Least Common Multiple of 22901 and 22911?

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 22901 and 22911 is 524684811.

LCM(22901,22911) = 524684811

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Least Common Multiple of 22901 and 22911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22901 and 22911, than apply into the LCM equation.

GCF(22901,22911) = 1
LCM(22901,22911) = ( 22901 × 22911) / 1
LCM(22901,22911) = 524684811 / 1
LCM(22901,22911) = 524684811

Least Common Multiple (LCM) of 22901 and 22911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22901 and 22911. First we will calculate the prime factors of 22901 and 22911.

Prime Factorization of 22901

Prime factors of 22901 are 22901. Prime factorization of 22901 in exponential form is:

22901 = 229011

Prime Factorization of 22911

Prime factors of 22911 are 3, 7, 1091. Prime factorization of 22911 in exponential form is:

22911 = 31 × 71 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 22901 and 22911.

LCM(22901,22911) = 229011 × 31 × 71 × 10911
LCM(22901,22911) = 524684811