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What is the Least Common Multiple of 22901 and 22910?

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 22910 is 524661910.

LCM(22901,22910) = 524661910

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Least Common Multiple of 22901 and 22910 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 22910, than apply into the LCM equation.

GCF(22901,22910) = 1
LCM(22901,22910) = ( 22901 × 22910) / 1
LCM(22901,22910) = 524661910 / 1
LCM(22901,22910) = 524661910

Least Common Multiple (LCM) of 22901 and 22910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22901 and 22910. First we will calculate the prime factors of 22901 and 22910.

Prime Factorization of 22901

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

22901 = 229011

Prime Factorization of 22910

Prime factors of 22910 are 2, 5, 29, 79. Prime factorization of 22910 in exponential form is:

22910 = 21 × 51 × 291 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 22901 and 22910.

LCM(22901,22910) = 229011 × 21 × 51 × 291 × 791
LCM(22901,22910) = 524661910